113293757664 has 288 divisors, whose sum is σ = 337797218304. Its totient is φ = 35977374720.

The previous prime is 113293757663. The next prime is 113293757723. The reversal of 113293757664 is 466757392311.

113293757664 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 9 + 3 + 7 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 113293757664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113293757663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184818222 + ... + 184818834.

It is an arithmetic number, because the mean of its divisors is an integer number (1172907008).

Almost surely, 2^113293757664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113293757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168898609152).

113293757664 is an abundant number, since it is smaller than the sum of its proper divisors (224503460640).

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

113293757664 is a wasteful number, since it uses less digits than its factorization.

113293757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 113293757664 in words is "one hundred thirteen billion, two hundred ninety-three million, seven hundred fifty-seven thousand, six hundred sixty-four".