113419522944 has 1344 divisors, whose sum is σ = 451946406240. Its totient is φ = 27572576256.

The previous prime is 113419522919. The next prime is 113419522973. The reversal of 113419522944 is 449225914311.

113419522944 is a `hidden beast` number, since 1 + 1 + 3 + 419 + 5 + 229 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

Its product of digits (311040) is a multiple of the sum of its prime divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 113419522944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3065392494 + ... + 3065392530.

Almost surely, 2^113419522944 is an apocalyptic number.

113419522944 is a gapful number since it is divisible by the number (14) 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 113419522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225973203120).

113419522944 is an abundant number, since it is smaller than the sum of its proper divisors (338526883296).

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

113419522944 is an equidigital number, since it uses as much as digits as its factorization.

113419522944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 113419522944 in words is "one hundred thirteen billion, four hundred nineteen million, five hundred twenty-two thousand, nine hundred forty-four".