113379756480 has 672 divisors, whose sum is σ = 431362713600. Its totient is φ = 28247408640.

The previous prime is 113379756409. The next prime is 113379756481. The reversal of 113379756480 is 84657973311.

113379756480 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 79 + 7 + 564 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113379756481) 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 95 ways as a sum of consecutive naturals, for example, 263061865 + ... + 263062295.

It is an arithmetic number, because the mean of its divisors is an integer number (641908800).

Almost surely, 2^113379756480 is an apocalyptic number.

113379756480 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 113379756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215681356800).

113379756480 is an abundant number, since it is smaller than the sum of its proper divisors (317982957120).

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

113379756480 is a wasteful number, since it uses less digits than its factorization.

113379756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 113379756480 in words is "one hundred thirteen billion, three hundred seventy-nine million, seven hundred fifty-six thousand, four hundred eighty".