111631453920 has 1152 divisors, whose sum is σ = 481178880000. Its totient is φ = 22992076800.

The previous prime is 111631453849. The next prime is 111631453931. The reversal of 111631453920 is 29354136111.

111631453920 is a `hidden beast` number, since 1 + 11 + 631 + 4 + 5 + 3 + 9 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 560961981 + ... + 560962179.

It is an arithmetic number, because the mean of its divisors is an integer number (417690000).

Almost surely, 2^111631453920 is an apocalyptic number.

111631453920 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 111631453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440000).

111631453920 is an abundant number, since it is smaller than the sum of its proper divisors (369547426080).

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

111631453920 is a wasteful number, since it uses less digits than its factorization.

111631453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 111631453920 in words is "one hundred eleven billion, six hundred thirty-one million, four hundred fifty-three thousand, nine hundred twenty".