112903372800 has 900 divisors, whose sum is σ = 433623011976. Its totient is φ = 29019340800.

The previous prime is 112903372753. The next prime is 112903372873. The reversal of 112903372800 is 8273309211.

112903372800 is a `hidden beast` number, since 11 + 290 + 337 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1360281559 + ... + 1360281641.

Almost surely, 2^112903372800 is an apocalyptic number.

112903372800 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 112903372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216811505988).

112903372800 is an abundant number, since it is smaller than the sum of its proper divisors (320719639176).

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

112903372800 is an frugal number, since it uses more digits than its factorization.

112903372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 112903372800 in words is "one hundred twelve billion, nine hundred three million, three hundred seventy-two thousand, eight hundred".