113775724764 has 288 divisors, whose sum is σ = 343018549440. Its totient is φ = 32307904512.

The previous prime is 113775724759. The next prime is 113775724807. The reversal of 113775724764 is 467427577311.

113775724764 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 7 + 572 + 4 + 7 + 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 113775724764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67044364 + ... + 67046060.

It is an arithmetic number, because the mean of its divisors is an integer number (1191036630).

Almost surely, 2^113775724764 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 113775724764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171509274720).

113775724764 is an abundant number, since it is smaller than the sum of its proper divisors (229242824676).

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

113775724764 is a wasteful number, since it uses less digits than its factorization.

113775724764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1785 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 113775724764 in words is "one hundred thirteen billion, seven hundred seventy-five million, seven hundred twenty-four thousand, seven hundred sixty-four".