113779162944 has 336 divisors, whose sum is σ = 362491129728. Its totient is φ = 35292837888.

The previous prime is 113779162909. The next prime is 113779162957. The reversal of 113779162944 is 449261977311.

113779162944 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 7 + 9 + 1 + 629 + 4 + 4 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 13230454 + ... + 13239050.

It is an arithmetic number, because the mean of its divisors is an integer number (1078842648).

Almost surely, 2^113779162944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113779162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181245564864).

113779162944 is an abundant number, since it is smaller than the sum of its proper divisors (248711966784).

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

113779162944 is an equidigital number, since it uses as much as digits as its factorization.

113779162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8684 (or 8662 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 113779162944 in words is "one hundred thirteen billion, seven hundred seventy-nine million, one hundred sixty-two thousand, nine hundred forty-four".