112457288518400 has 216 divisors, whose sum is σ = 323505317667840. Its totient is φ = 37903278919680.

The previous prime is 112457288518391. The next prime is 112457288518409. The reversal of 112457288518400 is 4815882754211.

It is an interprime number because it is at equal distance from previous prime (112457288518391) and next prime (112457288518409).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (112457288518409) 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 23 ways as a sum of consecutive naturals, for example, 18629744 + ... + 23916143.

Almost surely, 2^{112457288518400} is an apocalyptic number.

112457288518400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112457288518400 is an abundant number, since it is smaller than the sum of its proper divisors (211048029149440).

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

112457288518400 is an equidigital number, since it uses as much as digits as its factorization.

112457288518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42545979 (or 42545960 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 56.

The spelling of 112457288518400 in words is "one hundred twelve trillion, four hundred fifty-seven billion, two hundred eighty-eight million, five hundred eighteen thousand, four hundred".