112336761600 has 1296 divisors, whose sum is σ = 504835688448. Its totient is φ = 24126750720.

The previous prime is 112336761587. The next prime is 112336761619. The reversal of 112336761600 is 6167633211.

112336761600 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 36 + 7 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 185068497 + ... + 185069103.

Almost surely, 2^112336761600 is an apocalyptic number.

112336761600 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 112336761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252417844224).

112336761600 is an abundant number, since it is smaller than the sum of its proper divisors (392498926848).

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

112336761600 is an equidigital number, since it uses as much as digits as its factorization.

112336761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 112336761600 in words is "one hundred twelve billion, three hundred thirty-six million, seven hundred sixty-one thousand, six hundred".