113971873536 has 216 divisors, whose sum is σ = 331353902880. Its totient is φ = 37675008000.

The previous prime is 113971873517. The next prime is 113971873537. The reversal of 113971873536 is 635378179311.

113971873536 is a `hidden beast` number, since 1 + 1 + 3 + 97 + 18 + 7 + 3 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113971873537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259616805 + ... + 259617243.

Almost surely, 2^113971873536 is an apocalyptic number.

113971873536 is a gapful number since it is divisible by the number (16) 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 113971873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165676951440).

113971873536 is an abundant number, since it is smaller than the sum of its proper divisors (217382029344).

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

113971873536 is a wasteful number, since it uses less digits than its factorization.

113971873536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 113971873536 in words is "one hundred thirteen billion, nine hundred seventy-one million, eight hundred seventy-three thousand, five hundred thirty-six".