113632848 has 160 divisors (see below), whose sum is σ = 380332800. Its totient is φ = 31809024.

The previous prime is 113632847. The next prime is 113632859. The reversal of 113632848 is 848236311.

113632848 is a `hidden beast` number, since 1 + 13 + 632 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×113632848² = 25824848289182208, which contains 22 as substring.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113632843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159918 + ... + 160626.

It is an arithmetic number, because the mean of its divisors is an integer number (2377080).

Almost surely, 2^113632848 is an apocalyptic number.

113632848 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 113632848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190166400).

113632848 is an abundant number, since it is smaller than the sum of its proper divisors (266699952).

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

113632848 is a wasteful number, since it uses less digits than its factorization.

113632848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 113632848 is about 10659.8709185431. The cubic root of 113632848 is about 484.3596579976.

The spelling of 113632848 in words is "one hundred thirteen million, six hundred thirty-two thousand, eight hundred forty-eight".