113406038784 has 108 divisors (see below), whose sum is σ = 327071718792. Its totient is φ = 37791129600.

The previous prime is 113406038783. The next prime is 113406038791. The reversal of 113406038784 is 487830604311.

113406038784 is a `hidden beast` number, since 1 + 1 + 34 + 0 + 603 + 8 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×113406038784² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113406038783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14029624 + ... + 14037704.

Almost surely, 2^113406038784 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 113406038784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163535859396).

113406038784 is an abundant number, since it is smaller than the sum of its proper divisors (213665680008).

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

113406038784 is an equidigital number, since it uses as much as digits as its factorization.

113406038784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14194 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 113406038784 in words is "one hundred thirteen billion, four hundred six million, thirty-eight thousand, seven hundred eighty-four".