113832327024 has 320 divisors, whose sum is σ = 364909977600. Its totient is φ = 33733905408.

The previous prime is 113832326989. The next prime is 113832327031. The reversal of 113832327024 is 420723238311.

113832327024 is a `hidden beast` number, since 1 + 1 + 383 + 2 + 3 + 270 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113832327024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104721009 + ... + 104722095.

It is an arithmetic number, because the mean of its divisors is an integer number (1140343680).

Almost surely, 2^113832327024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113832327024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182454988800).

113832327024 is an abundant number, since it is smaller than the sum of its proper divisors (251077650576).

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

113832327024 is a wasteful number, since it uses less digits than its factorization.

113832327024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 113832327024 in words is "one hundred thirteen billion, eight hundred thirty-two million, three hundred twenty-seven thousand, twenty-four".