113402751307776 has 2496 divisors, whose sum is σ = 442546126387200. Its totient is φ = 28429243121664.

The previous prime is 113402751307771. The next prime is 113402751307849. The reversal of 113402751307776 is 677703157204311.

113402751307776 is a `hidden beast` number, since 1 + 1 + 3 + 402 + 75 + 1 + 30 + 77 + 76 = 666.

113402751307776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113402751307771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117272751645 + ... + 117272752611.

Almost surely, 2^{113402751307776} is an apocalyptic number.

113402751307776 is a gapful number since it is divisible by the number (16) 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 113402751307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221273063193600).

113402751307776 is an abundant number, since it is smaller than the sum of its proper divisors (329143375079424).

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

113402751307776 is a wasteful number, since it uses less digits than its factorization.

113402751307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 113402751307776 in words is "one hundred thirteen trillion, four hundred two billion, seven hundred fifty-one million, three hundred seven thousand, seven hundred seventy-six".