111689936781696 has 1792 divisors, whose sum is σ = 424018253514240. Its totient is φ = 28506496499712.

The previous prime is 111689936781613. The next prime is 111689936781737. The reversal of 111689936781696 is 696187639986111.

111689936781696 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 99 + 367 + 8 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41259672375 + ... + 41259675081.

It is an arithmetic number, because the mean of its divisors is an integer number (236617328970).

Almost surely, 2^{111689936781696} is an apocalyptic number.

111689936781696 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 111689936781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212009126757120).

111689936781696 is an abundant number, since it is smaller than the sum of its proper divisors (312328316732544).

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

111689936781696 is a wasteful number, since it uses less digits than its factorization.

111689936781696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2888 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 81.

The spelling of 111689936781696 in words is "one hundred eleven trillion, six hundred eighty-nine billion, nine hundred thirty-six million, seven hundred eighty-one thousand, six hundred ninety-six".