111185538441696 has 480 divisors, whose sum is σ = 347940400500000. Its totient is φ = 34709691138048.

The previous prime is 111185538441683. The next prime is 111185538441707. The reversal of 111185538441696 is 696144835581111.

111185538441696 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 8 + 5 + 53 + 84 + 416 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7673782420 + ... + 7673796908.

It is an arithmetic number, because the mean of its divisors is an integer number (724875834375).

Almost surely, 2^{111185538441696} is an apocalyptic number.

111185538441696 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 111185538441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173970200250000).

111185538441696 is an abundant number, since it is smaller than the sum of its proper divisors (236754862058304).

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

111185538441696 is a wasteful number, since it uses less digits than its factorization.

111185538441696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376 (or 15359 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 111185538441696 in words is "one hundred eleven trillion, one hundred eighty-five billion, five hundred thirty-eight million, four hundred forty-one thousand, six hundred ninety-six".