112909809600 has 336 divisors, whose sum is σ = 470399059200. Its totient is φ = 25807887360.

The previous prime is 112909809563. The next prime is 112909809667. The reversal of 112909809600 is 6908909211.

112909809600 is a `hidden beast` number, since 11 + 29 + 0 + 9 + 8 + 0 + 9 + 600 = 666.

112909809600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115711 + ... + 489089.

It is an arithmetic number, because the mean of its divisors is an integer number (1399997200).

Almost surely, 2^112909809600 is an apocalyptic number.

112909809600 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 112909809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235199529600).

112909809600 is an abundant number, since it is smaller than the sum of its proper divisors (357489249600).

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

112909809600 is a wasteful number, since it uses less digits than its factorization.

112909809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373417 (or 373396 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 112909809600 in words is "one hundred twelve billion, nine hundred nine million, eight hundred nine thousand, six hundred".