113351570640 has 1440 divisors, whose sum is σ = 511684750080. Its totient is φ = 22970787840.

The previous prime is 113351570639. The next prime is 113351570653. The reversal of 113351570640 is 46075153311.

113351570640 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 5 + 1 + 5 + 7 + 0 + 640 = 666.

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 = 113351570595 and 113351570604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 678751837 + ... + 678752003.

It is an arithmetic number, because the mean of its divisors is an integer number (355336632).

Almost surely, 2^113351570640 is an apocalyptic number.

113351570640 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 113351570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255842375040).

113351570640 is an abundant number, since it is smaller than the sum of its proper divisors (398333179440).

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

113351570640 is a wasteful number, since it uses less digits than its factorization.

113351570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 113351570640 in words is "one hundred thirteen billion, three hundred fifty-one million, five hundred seventy thousand, six hundred forty".