112465555200 has 648 divisors, whose sum is σ = 417503621808. Its totient is φ = 28860088320.

The previous prime is 112465555177. The next prime is 112465555201. The reversal of 112465555200 is 2555564211.

112465555200 is a `hidden beast` number, since 1 + 1 + 24 + 65 + 55 + 520 + 0 = 666.

It is a super-2 number, since 2×112465555200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112465555201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 240825367 + ... + 240825833.

Almost surely, 2^112465555200 is an apocalyptic number.

112465555200 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 112465555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208751810904).

112465555200 is an abundant number, since it is smaller than the sum of its proper divisors (305038066608).

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

112465555200 is a wasteful number, since it uses less digits than its factorization.

112465555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 112465555200 in words is "one hundred twelve billion, four hundred sixty-five million, five hundred fifty-five thousand, two hundred".