112046061600 has 432 divisors, whose sum is σ = 456380477280. Its totient is φ = 25564569600.

The previous prime is 112046061487. The next prime is 112046061601. The reversal of 112046061600 is 6160640211.

112046061600 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 46 + 0 + 616 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (112046061601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1304791 + ... + 1388009.

It is an arithmetic number, because the mean of its divisors is an integer number (1056436290).

Almost surely, 2^112046061600 is an apocalyptic number.

112046061600 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 112046061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228190238640).

112046061600 is an abundant number, since it is smaller than the sum of its proper divisors (344334415680).

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

112046061600 is a wasteful number, since it uses less digits than its factorization.

112046061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83273 (or 83257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 112046061600 in words is "one hundred twelve billion, forty-six million, sixty-one thousand, six hundred".