113244418129920 has 2400 divisors, whose sum is σ = 469445563560960. Its totient is φ = 23111852359680.

The previous prime is 113244418129883. The next prime is 113244418129933. The reversal of 113244418129920 is 29921814442311.

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 159 ways as a sum of consecutive naturals, for example, 473826017161 + ... + 473826017399.

Almost surely, 2^{113244418129920} is an apocalyptic number.

113244418129920 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 113244418129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234722781780480).

113244418129920 is an abundant number, since it is smaller than the sum of its proper divisors (356201145431040).

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

113244418129920 is an frugal number, since it uses more digits than its factorization.

113244418129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 113244418129920 in words is "one hundred thirteen trillion, two hundred forty-four billion, four hundred eighteen million, one hundred twenty-nine thousand, nine hundred twenty".