252386307298944 has 3584 divisors, whose sum is σ = 980174922854400. Its totient is φ = 62958349910016.

The previous prime is 252386307298943. The next prime is 252386307298963. The reversal of 252386307298944 is 449892703683252.

252386307298944 is a `hidden beast` number, since 2 + 5 + 2 + 386 + 3 + 0 + 72 + 98 + 94 + 4 = 666.

It is a super-2 number, since 2×252386307298944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (252386307298943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2450352497997 + ... + 2450352498099.

It is an arithmetic number, because the mean of its divisors is an integer number (273486306600).

Almost surely, 2^{252386307298944} is an apocalyptic number.

252386307298944 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 252386307298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490087461427200).

252386307298944 is an abundant number, since it is smaller than the sum of its proper divisors (727788615555456).

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

252386307298944 is a wasteful number, since it uses less digits than its factorization.

252386307298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 252386307298944 in words is "two hundred fifty-two trillion, three hundred eighty-six billion, three hundred seven million, two hundred ninety-eight thousand, nine hundred forty-four".