113977303200 has 432 divisors, whose sum is σ = 430265961216. Its totient is φ = 29411942400.

The previous prime is 113977303163. The next prime is 113977303207. The reversal of 113977303200 is 2303779311.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (113977303207) 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, 6016944 + ... + 6035856.

Almost surely, 2^113977303200 is an apocalyptic number.

113977303200 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 113977303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215132980608).

113977303200 is an abundant number, since it is smaller than the sum of its proper divisors (316288658016).

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

113977303200 is a wasteful number, since it uses less digits than its factorization.

113977303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18954 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 113977303200 in words is "one hundred thirteen billion, nine hundred seventy-seven million, three hundred three thousand, two hundred".