109334322091008 has 616 divisors, whose sum is σ = 374774319653760. Its totient is φ = 31216014213120.

The previous prime is 109334322090967. The next prime is 109334322091037. The reversal of 109334322091008 is 800190223433901.

109334322091008 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 3 + 432 + 209 + 1 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×109334322091008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8146504138 + ... + 8146517558.

Almost surely, 2^{109334322091008} is an apocalyptic number.

109334322091008 is a gapful number since it is divisible by the number (18) 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 109334322091008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187387159826880).

109334322091008 is an abundant number, since it is smaller than the sum of its proper divisors (265439997562752).

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

109334322091008 is an equidigital number, since it uses as much as digits as its factorization.

109334322091008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15025 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 109334322091008 in words is "one hundred nine trillion, three hundred thirty-four billion, three hundred twenty-two million, ninety-one thousand, eight".