112465617600 has 336 divisors, whose sum is σ = 425799715328. Its totient is φ = 25456066560.

The previous prime is 112465617581. The next prime is 112465617643. The reversal of 112465617600 is 6716564211.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3444552 + ... + 3477048.

Almost surely, 2^112465617600 is an apocalyptic number.

112465617600 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 112465617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212899857664).

112465617600 is an abundant number, since it is smaller than the sum of its proper divisors (313334097728).

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

112465617600 is a wasteful number, since it uses less digits than its factorization.

112465617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32632 (or 32617 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 112465617600 in words is "one hundred twelve billion, four hundred sixty-five million, six hundred seventeen thousand, six hundred".