109931657472 has 432 divisors, whose sum is σ = 395102256640. Its totient is φ = 28621651968.

The previous prime is 109931657453. The next prime is 109931657477. The reversal of 109931657472 is 274756139901.

109931657472 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 3 + 165 + 7 + 472 = 666.

It is a super-2 number, since 2×109931657472² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (109931657477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16560138 + ... + 16566774.

Almost surely, 2^109931657472 is an apocalyptic number.

109931657472 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 109931657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197551128320).

109931657472 is an abundant number, since it is smaller than the sum of its proper divisors (285170599168).

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

109931657472 is a wasteful number, since it uses less digits than its factorization.

109931657472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 109931657472 in words is "one hundred nine billion, nine hundred thirty-one million, six hundred fifty-seven thousand, four hundred seventy-two".