113481648 has 150 divisors (see below), whose sum is σ = 382286916. Its totient is φ = 32405184.

The previous prime is 113481619. The next prime is 113481659. The reversal of 113481648 is 846184311.

It is a happy number.

113481648 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 1 + 648 = 666.

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 29 ways as a sum of consecutive naturals, for example, 62611 + ... + 64397.

Almost surely, 2^113481648 is an apocalyptic number.

113481648 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 113481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191143458).

113481648 is an abundant number, since it is smaller than the sum of its proper divisors (268805268).

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

113481648 is a wasteful number, since it uses less digits than its factorization.

113481648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1799 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 113481648 is about 10652.7765394755. The cubic root of 113481648 is about 484.1447328010.

It can be divided in two parts, 11348 and 1648, that added together give a square (12996 = 114²).

The spelling of 113481648 in words is "one hundred thirteen million, four hundred eighty-one thousand, six hundred forty-eight".