113643648 has 160 divisors (see below), whose sum is σ = 344712060. Its totient is φ = 37158912.

The previous prime is 113643637. The next prime is 113643661. The reversal of 113643648 is 846346311.

It is a happy number.

113643648 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 4 + 3 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 13483584 = 10008^2 + 3672^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005640 + ... + 1005752.

Almost surely, 2^113643648 is an apocalyptic number.

113643648 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 113643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172356030).

113643648 is an abundant number, since it is smaller than the sum of its proper divisors (231068412).

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

113643648 is an equidigital number, since it uses as much as digits as its factorization.

113643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 113643648 is about 10660.3774792453. The cubic root of 113643648 is about 484.3750025002.

Adding to 113643648 its reverse (846346311), we get a palindrome (959989959).

The spelling of 113643648 in words is "one hundred thirteen million, six hundred forty-three thousand, six hundred forty-eight".