112793049600 has 960 divisors, whose sum is σ = 477564291072. Its totient is φ = 22781952000.

The previous prime is 112793049599. The next prime is 112793049613. The reversal of 112793049600 is 6940397211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109401085 + ... + 109402115.

Almost surely, 2^112793049600 is an apocalyptic number.

112793049600 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 112793049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238782145536).

112793049600 is an abundant number, since it is smaller than the sum of its proper divisors (364771241472).

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

112793049600 is a wasteful number, since it uses less digits than its factorization.

112793049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 112793049600 in words is "one hundred twelve billion, seven hundred ninety-three million, forty-nine thousand, six hundred".