113705230464 has 1024 divisors, whose sum is σ = 419489280000. Its totient is φ = 29634232320.

The previous prime is 113705230453. The next prime is 113705230477. The reversal of 113705230464 is 464032507311.

113705230464 is a `hidden beast` number, since 1 + 1 + 3 + 70 + 523 + 0 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1697092959 + ... + 1697093025.

It is an arithmetic number, because the mean of its divisors is an integer number (409657500).

Almost surely, 2^113705230464 is an apocalyptic number.

113705230464 is a gapful number since it is divisible by the number (14) 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 113705230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640000).

113705230464 is an abundant number, since it is smaller than the sum of its proper divisors (305784049536).

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

113705230464 is a wasteful number, since it uses less digits than its factorization.

113705230464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 113705230464 its reverse (464032507311), we get a palindrome (577737737775).

The spelling of 113705230464 in words is "one hundred thirteen billion, seven hundred five million, two hundred thirty thousand, four hundred sixty-four".