113436569664 has 448 divisors, whose sum is σ = 401973166080. Its totient is φ = 30944010240.

The previous prime is 113436569593. The next prime is 113436569677. The reversal of 113436569664 is 466965634311.

It is a happy number.

113436569664 is a `hidden beast` number, since 1 + 13 + 4 + 3 + 6 + 569 + 6 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113436569664.

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, 7424497 + ... + 7439759.

Almost surely, 2^113436569664 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 113436569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200986583040).

113436569664 is an abundant number, since it is smaller than the sum of its proper divisors (288536596416).

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

113436569664 is a wasteful number, since it uses less digits than its factorization.

113436569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335 (or 15319 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 113436569664 in words is "one hundred thirteen billion, four hundred thirty-six million, five hundred sixty-nine thousand, six hundred sixty-four".