112567472184960 has 2048 divisors, whose sum is σ = 479271931084800. Its totient is φ = 24699528806400.

The previous prime is 112567472184949. The next prime is 112567472184961. The reversal of 112567472184960 is 69481274765211.

It is a happy number.

112567472184960 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 74 + 72 + 1 + 8 + 496 + 0 = 666.

It is a super-2 number, since 2×112567472184960² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (112567472184961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5564098045 + ... + 5564118275.

It is an arithmetic number, because the mean of its divisors is an integer number (234019497600).

Almost surely, 2^{112567472184960} is an apocalyptic number.

112567472184960 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 112567472184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239635965542400).

112567472184960 is an abundant number, since it is smaller than the sum of its proper divisors (366704458899840).

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

112567472184960 is a wasteful number, since it uses less digits than its factorization.

112567472184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20367 (or 20349 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 112567472184960 in words is "one hundred twelve trillion, five hundred sixty-seven billion, four hundred seventy-two million, one hundred eighty-four thousand, nine hundred sixty".