229724814528 has 1344 divisors, whose sum is σ = 862374297600. Its totient is φ = 59222016000.

The previous prime is 229724814479. The next prime is 229724814533. The reversal of 229724814528 is 825418427922.

229724814528 is a `hidden beast` number, since 2 + 2 + 9 + 72 + 48 + 1 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3235560733 + ... + 3235560803.

Almost surely, 2^229724814528 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 229724814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431187148800).

229724814528 is an abundant number, since it is smaller than the sum of its proper divisors (632649483072).

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

229724814528 is a wasteful number, since it uses less digits than its factorization.

229724814528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 229724814528 in words is "two hundred twenty-nine billion, seven hundred twenty-four million, eight hundred fourteen thousand, five hundred twenty-eight".