109687917456 has 120 divisors (see below), whose sum is σ = 330741081216. Its totient is φ = 33734419200.

The previous prime is 109687917413. The next prime is 109687917487. The reversal of 109687917456 is 654719786901.

109687917456 is a `hidden beast` number, since 1 + 0 + 96 + 8 + 7 + 91 + 7 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 109687917393 and 109687917402.

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 23 ways as a sum of consecutive naturals, for example, 4388611 + ... + 4413533.

Almost surely, 2^109687917456 is an apocalyptic number.

109687917456 is a gapful number since it is divisible by the number (16) 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 109687917456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165370540608).

109687917456 is an abundant number, since it is smaller than the sum of its proper divisors (221053163760).

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

109687917456 is a wasteful number, since it uses less digits than its factorization.

109687917456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27301 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 109687917456 in words is "one hundred nine billion, six hundred eighty-seven million, nine hundred seventeen thousand, four hundred fifty-six".