113335649280000 has 2240 divisors, whose sum is σ = 483029200177920. Its totient is φ = 25717506048000.

The previous prime is 113335649279953. The next prime is 113335649280001. The reversal of 113335649280000 is 82946533311.

113335649280000 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 564 + 9 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is not an unprimeable number, because it can be changed into a prime (113335649280001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167408639662 + ... + 167408640338.

Almost surely, 2^{113335649280000} is an apocalyptic number.

113335649280000 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 113335649280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241514600088960).

113335649280000 is an abundant number, since it is smaller than the sum of its proper divisors (369693550897920).

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

113335649280000 is an frugal number, since it uses more digits than its factorization.

113335649280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 113335649280000 in words is "one hundred thirteen trillion, three hundred thirty-five billion, six hundred forty-nine million, two hundred eighty thousand".