252148432896000 has 2304 divisors, whose sum is σ = 978636777431040. Its totient is φ = 64783908864000.

The previous prime is 252148432895993. The next prime is 252148432896053. The reversal of 252148432896000 is 698234841252.

252148432896000 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 4 + 8 + 4 + 3 + 28 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×252148432896000² (a number of 30 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1110786047887 + ... + 1110786048113.

It is an arithmetic number, because the mean of its divisors is an integer number (424755545760).

Almost surely, 2^{252148432896000} is an apocalyptic number.

252148432896000 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 252148432896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489318388715520).

252148432896000 is an abundant number, since it is smaller than the sum of its proper divisors (726488344535040).

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

252148432896000 is an frugal number, since it uses more digits than its factorization.

252148432896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 252148432896000 in words is "two hundred fifty-two trillion, one hundred forty-eight billion, four hundred thirty-two million, eight hundred ninety-six thousand".