113829400602624 has 768 divisors, whose sum is σ = 375428386045440. Its totient is φ = 29931727749120.

The previous prime is 113829400602611. The next prime is 113829400602661. The reversal of 113829400602624 is 426206004928311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7715670832 + ... + 7715685584.

It is an arithmetic number, because the mean of its divisors is an integer number (488839044330).

Almost surely, 2^{113829400602624} is an apocalyptic number.

113829400602624 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 113829400602624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187714193022720).

113829400602624 is an abundant number, since it is smaller than the sum of its proper divisors (261598985442816).

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

113829400602624 is a wasteful number, since it uses less digits than its factorization.

113829400602624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15036 (or 15016 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 113829400602624 in words is "one hundred thirteen trillion, eight hundred twenty-nine billion, four hundred million, six hundred two thousand, six hundred twenty-four".