252383294592 has 1152 divisors, whose sum is σ = 912546835200. Its totient is φ = 66421555200.

The previous prime is 252383294543. The next prime is 252383294617. The reversal of 252383294592 is 295492383252.

It is a happy number.

252383294592 is a `hidden beast` number, since 2 + 5 + 23 + 8 + 3 + 29 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×252383294592² (a number of 24 digits) contains 22 as substring.

Its product of digits (9331200) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3194725209 + ... + 3194725287.

It is an arithmetic number, because the mean of its divisors is an integer number (792141350).

Almost surely, 2^252383294592 is an apocalyptic number.

252383294592 is a gapful number since it is divisible by the number (22) 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 252383294592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456273417600).

252383294592 is an abundant number, since it is smaller than the sum of its proper divisors (660163540608).

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

252383294592 is a wasteful number, since it uses less digits than its factorization.

252383294592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 252383294592 in words is "two hundred fifty-two billion, three hundred eighty-three million, two hundred ninety-four thousand, five hundred ninety-two".