113452416 has 192 divisors, whose sum is σ = 407347200. Its totient is φ = 29445120.

The previous prime is 113452411. The next prime is 113452459. The reversal of 113452416 is 614254311.

It is a happy number.

113452416 is a `hidden beast` number, since 1 + 134 + 524 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 113452416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113452411) 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, 88065 + ... + 89343.

It is an arithmetic number, because the mean of its divisors is an integer number (2121600).

Almost surely, 2^113452416 is an apocalyptic number.

113452416 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 113452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203673600).

113452416 is an abundant number, since it is smaller than the sum of its proper divisors (293894784).

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

113452416 is a wasteful number, since it uses less digits than its factorization.

113452416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 113452416 is about 10651.4044144423. The cubic root of 113452416 is about 484.1031585775.

The spelling of 113452416 in words is "one hundred thirteen million, four hundred fifty-two thousand, four hundred sixteen".