224329512960 has 1056 divisors, whose sum is σ = 940135079520. Its totient is φ = 50307858432.

The previous prime is 224329512943. The next prime is 224329512983. The reversal of 224329512960 is 69215923422.

224329512960 is a `hidden beast` number, since 2 + 2 + 43 + 2 + 9 + 512 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 4232632294 + ... + 4232632346.

Almost surely, 2^224329512960 is an apocalyptic number.

224329512960 is a gapful number since it is divisible by the number (20) 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 224329512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470067539760).

224329512960 is an abundant number, since it is smaller than the sum of its proper divisors (715805566560).

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

224329512960 is an frugal number, since it uses more digits than its factorization.

224329512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 224329512960 in words is "two hundred twenty-four billion, three hundred twenty-nine million, five hundred twelve thousand, nine hundred sixty".