113319648 has 288 divisors, whose sum is σ = 385257600. Its totient is φ = 32472576.

The previous prime is 113319631. The next prime is 113319659. The reversal of 113319648 is 846913311.

113319648 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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.

Its product of digits (15552) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920643 + ... + 1920701.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 2^113319648 is an apocalyptic number.

113319648 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 113319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

113319648 is an abundant number, since it is smaller than the sum of its proper divisors (271937952).

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

113319648 is a wasteful number, since it uses less digits than its factorization.

113319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 113319648 is about 10645.1701724303. The cubic root of 113319648 is about 483.9142438507.

The spelling of 113319648 in words is "one hundred thirteen million, three hundred nineteen thousand, six hundred forty-eight".