113468644224 has 288 divisors, whose sum is σ = 356877120600. Its totient is φ = 34586652672.

The previous prime is 113468644183. The next prime is 113468644279. The reversal of 113468644224 is 422446864311.

It is a happy number.

113468644224 is a `hidden beast` number, since 1 + 1 + 346 + 86 + 4 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113468644224.

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, 21218319 + ... + 21223665.

Almost surely, 2^113468644224 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 113468644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178438560300).

113468644224 is an abundant number, since it is smaller than the sum of its proper divisors (243408476376).

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

113468644224 is a wasteful number, since it uses less digits than its factorization.

113468644224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5474 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 113468644224 in words is "one hundred thirteen billion, four hundred sixty-eight million, six hundred forty-four thousand, two hundred twenty-four".