109318090033152 has 6912 divisors, whose sum is σ = 493302323404800. Its totient is φ = 23691035934720.

The previous prime is 109318090033147. The next prime is 109318090033157. The reversal of 109318090033152 is 251330090813901.

109318090033152 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 180 + 90 + 0 + 331 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (109318090033147) and next prime (109318090033157).

It is a tau number, because it is divible by the number of its divisors (6912).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 109318090033098 and 109318090033107.

It is not an unprimeable number, because it can be changed into a prime (109318090033157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2325916809193 + ... + 2325916809239.

It is an arithmetic number, because the mean of its divisors is an integer number (71368970400).

Almost surely, 2^{109318090033152} is an apocalyptic number.

109318090033152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109318090033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246651161702400).

109318090033152 is an abundant number, since it is smaller than the sum of its proper divisors (383984233371648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109318090033152 is a wasteful number, since it uses less digits than its factorization.

109318090033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 109318090033152 in words is "one hundred nine trillion, three hundred eighteen billion, ninety million, thirty-three thousand, one hundred fifty-two".