252192787344 has 45 divisors (see below), whose sum is σ = 705806402353. Its totient is φ = 84062253696.

The previous prime is 252192787337. The next prime is 252192787403. The reversal of 252192787344 is 443787291252.

The square root of 252192787344 is 502188.

It is a perfect power (a square), and thus also a powerful number.

252192787344 is a `hidden beast` number, since 2 + 5 + 21 + 9 + 278 + 7 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209591827344 + 42600960000 = 457812^2 + 206400^2 .

It is a super-4 number, since 4×252192787344⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

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, 6005332 + ... + 6047180.

Almost surely, 2^252192787344 is an apocalyptic number.

252192787344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

252192787344 is the 502188-th square number.

It is an amenable number.

252192787344 is an abundant number, since it is smaller than the sum of its proper divisors (453613615009).

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

252192787344 is an frugal number, since it uses more digits than its factorization.

252192787344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83712 (or 41854 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 252192787344 in words is "two hundred fifty-two billion, one hundred ninety-two million, seven hundred eighty-seven thousand, three hundred forty-four".