113981616 has 120 divisors (see below), whose sum is σ = 369792800. Its totient is φ = 32099328.

The previous prime is 113981603. The next prime is 113981653. The reversal of 113981616 is 616189311.

It is a happy number.

113981616 is a `hidden beast` number, since 1 + 1 + 39 + 8 + 1 + 616 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72810 + ... + 74358.

Almost surely, 2^113981616 is an apocalyptic number.

113981616 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 113981616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184896400).

113981616 is an abundant number, since it is smaller than the sum of its proper divisors (255811184).

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

113981616 is a wasteful number, since it uses less digits than its factorization.

113981616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1634 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 113981616 is about 10676.2173076423. The cubic root of 113981616 is about 484.8546927153.

The spelling of 113981616 in words is "one hundred thirteen million, nine hundred eighty-one thousand, six hundred sixteen".