113482419736608 has 576 divisors, whose sum is σ = 357596632673280. Its totient is φ = 33919261802496.

The previous prime is 113482419736573. The next prime is 113482419736613. The reversal of 113482419736608 is 806637914284311.

113482419736608 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 2 + 4 + 19 + 7 + 3 + 6 + 608 = 666.

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 95 ways as a sum of consecutive naturals, for example, 15218236816 + ... + 15218244272.

It is an arithmetic number, because the mean of its divisors is an integer number (620827487280).

Almost surely, 2^{113482419736608} is an apocalyptic number.

113482419736608 is a gapful number since it is divisible by the number (18) 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 113482419736608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178798316336640).

113482419736608 is an abundant number, since it is smaller than the sum of its proper divisors (244114212936672).

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

113482419736608 is a wasteful number, since it uses less digits than its factorization.

113482419736608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 113482419736608 in words is "one hundred thirteen trillion, four hundred eighty-two billion, four hundred nineteen million, seven hundred thirty-six thousand, six hundred eight".