113805392843520 has 720 divisors, whose sum is σ = 489884579331840. Its totient is φ = 24643570802688.

The previous prime is 113805392843473. The next prime is 113805392843557. The reversal of 113805392843520 is 25348293508311.

113805392843520 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 0 + 5 + 3 + 9 + 284 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 9662899 + ... + 17915981.

It is an arithmetic number, because the mean of its divisors is an integer number (680395249072).

Almost surely, 2^{113805392843520} is an apocalyptic number.

113805392843520 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 113805392843520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244942289665920).

113805392843520 is an abundant number, since it is smaller than the sum of its proper divisors (376079186488320).

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

113805392843520 is an equidigital number, since it uses as much as digits as its factorization.

113805392843520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253142 (or 8253119 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 113805392843520 in words is "one hundred thirteen trillion, eight hundred five billion, three hundred ninety-two million, eight hundred forty-three thousand, five hundred twenty".