252646155216 has 1440 divisors, whose sum is σ = 991186560000. Its totient is φ = 62055092736.

The previous prime is 252646155211. The next prime is 252646155239. The reversal of 252646155216 is 612551646252.

252646155216 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 4 + 615 + 5 + 21 + 6 = 666.

252646155216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252646155211) 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 287 ways as a sum of consecutive naturals, for example, 4282138195 + ... + 4282138253.

It is an arithmetic number, because the mean of its divisors is an integer number (688324000).

Almost surely, 2^252646155216 is an apocalyptic number.

252646155216 is a gapful number since it is divisible by the number (26) 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 252646155216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495593280000).

252646155216 is an abundant number, since it is smaller than the sum of its proper divisors (738540404784).

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

252646155216 is a wasteful number, since it uses less digits than its factorization.

252646155216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 252646155216 in words is "two hundred fifty-two billion, six hundred forty-six million, one hundred fifty-five thousand, two hundred sixteen".