111564316400 has 120 divisors (see below), whose sum is σ = 272097540000. Its totient is φ = 43950412800.

The previous prime is 111564316351. The next prime is 111564316439. The reversal of 111564316400 is 4613465111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40582226 + ... + 40584974.

It is an arithmetic number, because the mean of its divisors is an integer number (2267479500).

Almost surely, 2^111564316400 is an apocalyptic number.

111564316400 is a gapful number since it is divisible by the number (10) 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 111564316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136048770000).

111564316400 is an abundant number, since it is smaller than the sum of its proper divisors (160533223600).

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

111564316400 is a wasteful number, since it uses less digits than its factorization.

111564316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 111564316400 in words is "one hundred eleven billion, five hundred sixty-four million, three hundred sixteen thousand, four hundred".