111912762816 has 336 divisors, whose sum is σ = 334394543808. Its totient is φ = 35765452800.

The previous prime is 111912762803. The next prime is 111912762901. The reversal of 111912762816 is 618267219111.

111912762816 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 1 + 2 + 7 + 628 + 16 = 666.

It is a super-2 number, since 2×111912762816² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281895930 + ... + 281896326.

Almost surely, 2^111912762816 is an apocalyptic number.

111912762816 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 111912762816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167197271904).

111912762816 is an abundant number, since it is smaller than the sum of its proper divisors (222481780992).

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

111912762816 is a wasteful number, since it uses less digits than its factorization.

111912762816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 111912762816 in words is "one hundred eleven billion, nine hundred twelve million, seven hundred sixty-two thousand, eight hundred sixteen".