113226448896 has 576 divisors, whose sum is σ = 380721650400. Its totient is φ = 32310558720.

The previous prime is 113226448861. The next prime is 113226448901. The reversal of 113226448896 is 698844622311.

113226448896 is a `hidden beast` number, since 1 + 13 + 2 + 2 + 64 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 678002605 + ... + 678002771.

Almost surely, 2^113226448896 is an apocalyptic number.

113226448896 is a gapful number since it is divisible by the number (16) 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 113226448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190360825200).

113226448896 is an abundant number, since it is smaller than the sum of its proper divisors (267495201504).

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

113226448896 is a wasteful number, since it uses less digits than its factorization.

113226448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 202 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 113226448896 in words is "one hundred thirteen billion, two hundred twenty-six million, four hundred forty-eight thousand, eight hundred ninety-six".