252149367816 has 192 divisors, whose sum is σ = 716843312640. Its totient is φ = 79918080000.

The previous prime is 252149367809. The next prime is 252149367829. The reversal of 252149367816 is 618763941252.

It is a happy number.

252149367816 is a `hidden beast` number, since 2 + 521 + 4 + 9 + 36 + 7 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286207696 + ... + 286208576.

It is an arithmetic number, because the mean of its divisors is an integer number (3733558920).

Almost surely, 2^252149367816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252149367816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358421656320).

252149367816 is an abundant number, since it is smaller than the sum of its proper divisors (464693944824).

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

252149367816 is a wasteful number, since it uses less digits than its factorization.

252149367816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 252149367816 in words is "two hundred fifty-two billion, one hundred forty-nine million, three hundred sixty-seven thousand, eight hundred sixteen".