113820247664640 has 2304 divisors, whose sum is σ = 457765281792000. Its totient is φ = 26793433497600.

The previous prime is 113820247664587. The next prime is 113820247664699. The reversal of 113820247664640 is 46466742028311.

113820247664640 is a `hidden beast` number, since 1 + 1 + 3 + 82 + 0 + 2 + 47 + 66 + 464 + 0 = 666.

113820247664640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300317275971 + ... + 300317276349.

It is an arithmetic number, because the mean of its divisors is an integer number (198682848000).

Almost surely, 2^{113820247664640} is an apocalyptic number.

113820247664640 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 113820247664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228882640896000).

113820247664640 is an abundant number, since it is smaller than the sum of its proper divisors (343945034127360).

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

113820247664640 is a wasteful number, since it uses less digits than its factorization.

113820247664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 113820247664640 in words is "one hundred thirteen trillion, eight hundred twenty billion, two hundred forty-seven million, six hundred sixty-four thousand, six hundred forty".