252046536192 has 720 divisors, whose sum is σ = 869818435200. Its totient is φ = 72156303360.

The previous prime is 252046536191. The next prime is 252046536223. The reversal of 252046536192 is 291635640252.

252046536192 is a `hidden beast` number, since 2 + 5 + 20 + 4 + 6 + 5 + 3 + 619 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252046536191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702079309 + ... + 702079667.

It is an arithmetic number, because the mean of its divisors is an integer number (1208081160).

Almost surely, 2^252046536192 is an apocalyptic number.

252046536192 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 252046536192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434909217600).

252046536192 is an abundant number, since it is smaller than the sum of its proper divisors (617771899008).

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

252046536192 is an frugal number, since it uses more digits than its factorization.

252046536192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 252046536192 in words is "two hundred fifty-two billion, forty-six million, five hundred thirty-six thousand, one hundred ninety-two".