111627105408 has 768 divisors, whose sum is σ = 417021696000. Its totient is φ = 28449792000.

The previous prime is 111627105391. The next prime is 111627105419. The reversal of 111627105408 is 804501726111.

111627105408 is a `hidden beast` number, since 1 + 11 + 627 + 10 + 5 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×111627105408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159239458 + ... + 159240158.

It is an arithmetic number, because the mean of its divisors is an integer number (542997000).

Almost surely, 2^111627105408 is an apocalyptic number.

111627105408 is a gapful number since it is divisible by the number (18) 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 111627105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208510848000).

111627105408 is an abundant number, since it is smaller than the sum of its proper divisors (305394590592).

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

111627105408 is a wasteful number, since it uses less digits than its factorization.

111627105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 111627105408 in words is "one hundred eleven billion, six hundred twenty-seven million, one hundred five thousand, four hundred eight".