113416312464 has 240 divisors, whose sum is σ = 413636775552. Its totient is φ = 28152410112.

The previous prime is 113416312369. The next prime is 113416312469. The reversal of 113416312464 is 464213614311.

113416312464 is a `hidden beast` number, since 1 + 1 + 34 + 163 + 1 + 2 + 464 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113416312469) 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, 31794 + ... + 477329.

Almost surely, 2^113416312464 is an apocalyptic number.

113416312464 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 113416312464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206818387776).

113416312464 is an abundant number, since it is smaller than the sum of its proper divisors (300220463088).

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

113416312464 is a wasteful number, since it uses less digits than its factorization.

113416312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509174 (or 509165 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 113416312464 its reverse (464213614311), we get a palindrome (577629926775).

The spelling of 113416312464 in words is "one hundred thirteen billion, four hundred sixteen million, three hundred twelve thousand, four hundred sixty-four".