113714016 has 144 divisors (see below), whose sum is σ = 332773056. Its totient is φ = 33965568.

The previous prime is 113713997. The next prime is 113714021. The reversal of 113714016 is 610417311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697551 + ... + 697713.

It is an arithmetic number, because the mean of its divisors is an integer number (2310924).

Almost surely, 2^113714016 is an apocalyptic number.

113714016 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 113714016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166386528).

113714016 is an abundant number, since it is smaller than the sum of its proper divisors (219059040).

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

113714016 is a wasteful number, since it uses less digits than its factorization.

113714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 113714016 is about 10663.6774144757. The cubic root of 113714016 is about 484.4749566644.

The spelling of 113714016 in words is "one hundred thirteen million, seven hundred fourteen thousand, sixteen".