112500045504 has 1008 divisors, whose sum is σ = 437717427840. Its totient is φ = 28002723840.

The previous prime is 112500045499. The next prime is 112500045523. The reversal of 112500045504 is 405540005211.

112500045504 is a `hidden beast` number, since 112 + 5 + 0 + 0 + 0 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×112500045504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2122642342 + ... + 2122642394.

It is an arithmetic number, because the mean of its divisors is an integer number (434243480).

Almost surely, 2^112500045504 is an apocalyptic number.

112500045504 is a gapful number since it is divisible by the number (14) 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 112500045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218858713920).

112500045504 is an abundant number, since it is smaller than the sum of its proper divisors (325217382336).

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

112500045504 is a wasteful number, since it uses less digits than its factorization.

112500045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 112500045504 in words is "one hundred twelve billion, five hundred million, forty-five thousand, five hundred four".