112932343480320 has 4608 divisors, whose sum is σ = 524025279610560. Its totient is φ = 23115815976960.

The previous prime is 112932343480309. The next prime is 112932343480321. The reversal of 112932343480320 is 23084343239211.

112932343480320 is a `hidden beast` number, since 1 + 1 + 2 + 93 + 23 + 43 + 480 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112932343480321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1547018403804 + ... + 1547018403876.

Almost surely, 2^{112932343480320} is an apocalyptic number.

112932343480320 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 112932343480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262012639805280).

112932343480320 is an abundant number, since it is smaller than the sum of its proper divisors (411092936130240).

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

112932343480320 is an frugal number, since it uses more digits than its factorization.

112932343480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 112932343480320 in words is "one hundred twelve trillion, nine hundred thirty-two billion, three hundred forty-three million, four hundred eighty thousand, three hundred twenty".