252079149168 has 720 divisors, whose sum is σ = 937040382720. Its totient is φ = 64158393600.

The previous prime is 252079149041. The next prime is 252079149173. The reversal of 252079149168 is 861941970252.

It is a happy number.

252079149168 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 7 + 91 + 491 + 68 = 666.

252079149168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 810543733 + ... + 810544043.

It is an arithmetic number, because the mean of its divisors is an integer number (1301444976).

Almost surely, 2^252079149168 is an apocalyptic number.

252079149168 is a gapful number since it is divisible by the number (28) 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 252079149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468520191360).

252079149168 is an abundant number, since it is smaller than the sum of its proper divisors (684961233552).

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

252079149168 is a wasteful number, since it uses less digits than its factorization.

252079149168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 252079149168 in words is "two hundred fifty-two billion, seventy-nine million, one hundred forty-nine thousand, one hundred sixty-eight".