224900465792 has 72 divisors (see below), whose sum is σ = 452545802355. Its totient is φ = 111331552000.

The previous prime is 224900465773. The next prime is 224900465821. The reversal of 224900465792 is 297564009422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112450232896 + 112450232896 = 335336^2 + 335336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335336.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224900465792.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 896017667 + ... + 896017917.

Almost surely, 2^224900465792 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 224900465792

224900465792 is an abundant number, since it is smaller than the sum of its proper divisors (227645336563).

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

224900465792 is an frugal number, since it uses more digits than its factorization.

224900465792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

Multiplying 224900465792 by its sum of digits (50), we get a square (11245023289600 = 3353360²).

The spelling of 224900465792 in words is "two hundred twenty-four billion, nine hundred million, four hundred sixty-five thousand, seven hundred ninety-two".