113979318497280 has 1664 divisors, whose sum is σ = 431109655603200. Its totient is φ = 28508657025024.

The previous prime is 113979318497249. The next prime is 113979318497299. The reversal of 113979318497280 is 82794813979311.

113979318497280 is a `hidden beast` number, since 1 + 1 + 39 + 7 + 93 + 18 + 497 + 2 + 8 + 0 = 666.

113979318497280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 113979318497199 and 113979318497208.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 272027012911 + ... + 272027013329.

Almost surely, 2^{113979318497280} is an apocalyptic number.

113979318497280 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 113979318497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215554827801600).

113979318497280 is an abundant number, since it is smaller than the sum of its proper divisors (317130337105920).

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

113979318497280 is a wasteful number, since it uses less digits than its factorization.

113979318497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 113979318497280 in words is "one hundred thirteen trillion, nine hundred seventy-nine billion, three hundred eighteen million, four hundred ninety-seven thousand, two hundred eighty".