113726448 has 180 divisors, whose sum is σ = 358898904. Its totient is φ = 33580800.

The previous prime is 113726441. The next prime is 113726449. The reversal of 113726448 is 844627311.

113726448 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 2 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113726441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1062811 + ... + 1062917.

Almost surely, 2^113726448 is an apocalyptic number.

113726448 is a gapful number since it is divisible by the number (18) 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 113726448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179449452).

113726448 is an abundant number, since it is smaller than the sum of its proper divisors (245172456).

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

113726448 is a wasteful number, since it uses less digits than its factorization.

113726448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 113726448 is about 10664.2603119016. The cubic root of 113726448 is about 484.4926114015.

The spelling of 113726448 in words is "one hundred thirteen million, seven hundred twenty-six thousand, four hundred forty-eight".