113008927680000 has 3200 divisors, whose sum is σ = 476107292897280. Its totient is φ = 26428723200000.

The previous prime is 113008927679971. The next prime is 113008927680053. The reversal of 113008927680000 is 86729800311.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 356495039842 + ... + 356495040158.

Almost surely, 2^{113008927680000} is an apocalyptic number.

113008927680000 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 113008927680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238053646448640).

113008927680000 is an abundant number, since it is smaller than the sum of its proper divisors (363098365217280).

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

113008927680000 is an frugal number, since it uses more digits than its factorization.

113008927680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 113008927680000 in words is "one hundred thirteen trillion, eight billion, nine hundred twenty-seven million, six hundred eighty thousand".