113916816 has 180 divisors, whose sum is σ = 358715136. Its totient is φ = 33696000.

The previous prime is 113916809. The next prime is 113916823. The reversal of 113916816 is 618619311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113916809) and next prime (113916823).

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 a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 754341 + ... + 754491.

Almost surely, 2^113916816 is an apocalyptic number.

113916816 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 113916816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179357568).

113916816 is an abundant number, since it is smaller than the sum of its proper divisors (244798320).

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

113916816 is a wasteful number, since it uses less digits than its factorization.

113916816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

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

The square root of 113916816 is about 10673.1820934527. The cubic root of 113916816 is about 484.7627932757.

It can be divided in two parts, 1139 and 16816, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 113916816 in words is "one hundred thirteen million, nine hundred sixteen thousand, eight hundred sixteen".