113464806400 has 264 divisors, whose sum is σ = 308675154240. Its totient is φ = 41011200000.

The previous prime is 113464806379. The next prime is 113464806401. The reversal of 113464806400 is 4608464311.

It is a self number, because there is not a number n which added to its sum of digits gives 113464806400.

It is not an unprimeable number, because it can be changed into a prime (113464806401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50405275 + ... + 50407525.

Almost surely, 2^113464806400 is an apocalyptic number.

113464806400 is a gapful number since it is divisible by the number (10) 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 113464806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154337577120).

113464806400 is an abundant number, since it is smaller than the sum of its proper divisors (195210347840).

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

113464806400 is a wasteful number, since it uses less digits than its factorization.

113464806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 113464806400 in words is "one hundred thirteen billion, four hundred sixty-four million, eight hundred six thousand, four hundred".