112527344000 has 64 divisors (see below), whose sum is σ = 279771148800. Its totient is φ = 45010931200.

The previous prime is 112527343919. The next prime is 112527344009. The reversal of 112527344000 is 443725211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112527344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3500480 + ... + 3532479.

It is an arithmetic number, because the mean of its divisors is an integer number (4371424200).

Almost surely, 2^112527344000 is an apocalyptic number.

112527344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112527344000 is an abundant number, since it is smaller than the sum of its proper divisors (167243804800).

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

112527344000 is an frugal number, since it uses more digits than its factorization.

112527344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032988 (or 7032966 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 112527344000 in words is "one hundred twelve billion, five hundred twenty-seven million, three hundred forty-four thousand".