112154618520 has 384 divisors, whose sum is σ = 445946941440. Its totient is φ = 24807928320.

The previous prime is 112154618453. The next prime is 112154618533. The reversal of 112154618520 is 25816451211.

112154618520 is a `hidden beast` number, since 1 + 1 + 2 + 15 + 4 + 618 + 5 + 20 = 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 95 ways as a sum of consecutive naturals, for example, 2082654 + ... + 2135826.

It is an arithmetic number, because the mean of its divisors is an integer number (1161320160).

Almost surely, 2^112154618520 is an apocalyptic number.

112154618520 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 112154618520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222973470720).

112154618520 is an abundant number, since it is smaller than the sum of its proper divisors (333792322920).

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

112154618520 is a wasteful number, since it uses less digits than its factorization.

112154618520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53237 (or 53221 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 112154618520 in words is "one hundred twelve billion, one hundred fifty-four million, six hundred eighteen thousand, five hundred twenty".