252339816551424 has 704 divisors, whose sum is σ = 850767041986560. Its totient is φ = 64835719004160.

The previous prime is 252339816551371. The next prime is 252339816551443. The reversal of 252339816551424 is 424155618933252.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895135104 + ... + 895416960.

Almost surely, 2^{252339816551424} is an apocalyptic number.

252339816551424 is a gapful number since it is divisible by the number (24) 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 252339816551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425383520993280).

252339816551424 is an abundant number, since it is smaller than the sum of its proper divisors (598427225435136).

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

252339816551424 is a wasteful number, since it uses less digits than its factorization.

252339816551424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282014 (or 281996 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 60.

The spelling of 252339816551424 in words is "two hundred fifty-two trillion, three hundred thirty-nine billion, eight hundred sixteen million, five hundred fifty-one thousand, four hundred twenty-four".