252883748736 has 128 divisors (see below), whose sum is σ = 746532900000. Its totient is φ = 84274864128.

The previous prime is 252883748653. The next prime is 252883748737. The reversal of 252883748736 is 637847388252.

252883748736 is a `hidden beast` number, since 2 + 528 + 8 + 3 + 74 + 8 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252883748737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28573240 + ... + 28582088.

Almost surely, 2^252883748736 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 252883748736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373266450000).

252883748736 is an abundant number, since it is smaller than the sum of its proper divisors (493649151264).

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

252883748736 is an equidigital number, since it uses as much as digits as its factorization.

252883748736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17141 (or 17123 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 252883748736 in words is "two hundred fifty-two billion, eight hundred eighty-three million, seven hundred forty-eight thousand, seven hundred thirty-six".