113877414881280 has 2304 divisors, whose sum is σ = 438903069696000. Its totient is φ = 28256868237312.

The previous prime is 113877414881261. The next prime is 113877414881287. The reversal of 113877414881280 is 82188414778311.

113877414881280 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 7 + 74 + 1 + 488 + 1 + 2 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113877414881287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402393692019 + ... + 402393692301.

It is an arithmetic number, because the mean of its divisors is an integer number (190496124000).

Almost surely, 2^{113877414881280} is an apocalyptic number.

113877414881280 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 113877414881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219451534848000).

113877414881280 is an abundant number, since it is smaller than the sum of its proper divisors (325025654814720).

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

113877414881280 is an equidigital number, since it uses as much as digits as its factorization.

113877414881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 63.

The spelling of 113877414881280 in words is "one hundred thirteen trillion, eight hundred seventy-seven billion, four hundred fourteen million, eight hundred eighty-one thousand, two hundred eighty".