113714496 has 336 divisors, whose sum is σ = 416966400. Its totient is φ = 30191616.

The previous prime is 113714483. The next prime is 113714519. The reversal of 113714496 is 694417311.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 113714496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439385 + ... + 1439463.

Almost surely, 2^113714496 is an apocalyptic number.

113714496 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 113714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208483200).

113714496 is an abundant number, since it is smaller than the sum of its proper divisors (303251904).

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

113714496 is a wasteful number, since it uses less digits than its factorization.

113714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113714496 is about 10663.6999207592. The cubic root of 113714496 is about 484.4756383384.

The spelling of 113714496 in words is "one hundred thirteen million, seven hundred fourteen thousand, four hundred ninety-six".