113264424 has 192 divisors, whose sum is σ = 385257600. Its totient is φ = 29265408.

The previous prime is 113264423. The next prime is 113264441. The reversal of 113264424 is 424462311.

It is a happy number.

113264424 is a `hidden beast` number, since 1 + 13 + 2 + 644 + 2 + 4 = 666.

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

Its product of digits (4608) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113264423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386422 + ... + 386714.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^113264424 is an apocalyptic number.

113264424 is a gapful number since it is divisible by the number (14) 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 113264424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

113264424 is an abundant number, since it is smaller than the sum of its proper divisors (271993176).

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

113264424 is a wasteful number, since it uses less digits than its factorization.

113264424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 113264424 is about 10642.5760039569. The cubic root of 113264424 is about 483.8356225262.

It can be divided in two parts, 1132 and 64424, that added together give a palindrome (65556).

The spelling of 113264424 in words is "one hundred thirteen million, two hundred sixty-four thousand, four hundred twenty-four".