113876742672 has 800 divisors, whose sum is σ = 428934832128. Its totient is φ = 28304640000.

The previous prime is 113876742619. The next prime is 113876742677. The reversal of 113876742672 is 276247678311.

113876742672 is a `hidden beast` number, since 1 + 13 + 87 + 67 + 426 + 72 = 666.

113876742672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113876742677) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 405255172 + ... + 405255452.

Almost surely, 2^113876742672 is an apocalyptic number.

113876742672 is a gapful number since it is divisible by the number (12) 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 113876742672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214467416064).

113876742672 is an abundant number, since it is smaller than the sum of its proper divisors (315058089456).

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

113876742672 is a wasteful number, since it uses less digits than its factorization.

113876742672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 113876742672 in words is "one hundred thirteen billion, eight hundred seventy-six million, seven hundred forty-two thousand, six hundred seventy-two".