109755016154208 has 576 divisors, whose sum is σ = 345626507520000. Its totient is φ = 33815182123008.

The previous prime is 109755016154183. The next prime is 109755016154219. The reversal of 109755016154208 is 802451610557901.

109755016154208 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 5 + 50 + 161 + 5 + 420 + 8 = 666.

It is a super-2 number, since 2×109755016154208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 3467866768 + ... + 3467898416.

It is an arithmetic number, because the mean of its divisors is an integer number (600046020000).

Almost surely, 2^{109755016154208} is an apocalyptic number.

109755016154208 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 109755016154208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172813253760000).

109755016154208 is an abundant number, since it is smaller than the sum of its proper divisors (235871491365792).

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

109755016154208 is a wasteful number, since it uses less digits than its factorization.

109755016154208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31864 (or 31803 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 109755016154208 in words is "one hundred nine trillion, seven hundred fifty-five billion, sixteen million, one hundred fifty-four thousand, two hundred eight".