113978296320 has 768 divisors, whose sum is σ = 441080640000. Its totient is φ = 25086394368.

The previous prime is 113978296301. The next prime is 113978296379. The reversal of 113978296320 is 23692879311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305571654 + ... + 305572026.

It is an arithmetic number, because the mean of its divisors is an integer number (574323750).

Almost surely, 2^113978296320 is an apocalyptic number.

113978296320 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 113978296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320000).

113978296320 is an abundant number, since it is smaller than the sum of its proper divisors (327102343680).

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

113978296320 is an equidigital number, since it uses as much as digits as its factorization.

113978296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 113978296320 in words is "one hundred thirteen billion, nine hundred seventy-eight million, two hundred ninety-six thousand, three hundred twenty".