113683026240 has 504 divisors, whose sum is σ = 458952310440. Its totient is φ = 25751126016.

The previous prime is 113683026239. The next prime is 113683026257. The reversal of 113683026240 is 42620386311.

113683026240 is a `hidden beast` number, since 1 + 1 + 368 + 30 + 26 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 448084224 + 113234942016 = 21168^2 + 336504^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 113683026195 and 113683026204.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15942996 + ... + 15950124.

Almost surely, 2^113683026240 is an apocalyptic number.

113683026240 is a gapful number since it is divisible by the number (10) 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 113683026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229476155220).

113683026240 is an abundant number, since it is smaller than the sum of its proper divisors (345269284200).

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

113683026240 is a wasteful number, since it uses less digits than its factorization.

113683026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7259 counting only the distinct ones).

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

The spelling of 113683026240 in words is "one hundred thirteen billion, six hundred eighty-three million, twenty-six thousand, two hundred forty".