252643114152 has 1280 divisors, whose sum is σ = 969499238400. Its totient is φ = 60107857920.

The previous prime is 252643114111. The next prime is 252643114153. The reversal of 252643114152 is 251411346252.

252643114152 is a `hidden beast` number, since 2 + 5 + 2 + 643 + 1 + 1 + 4 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252643114153) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 688400673 + ... + 688401039.

It is an arithmetic number, because the mean of its divisors is an integer number (757421280).

Almost surely, 2^252643114152 is an apocalyptic number.

252643114152 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 252643114152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484749619200).

252643114152 is an abundant number, since it is smaller than the sum of its proper divisors (716856124248).

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

252643114152 is a wasteful number, since it uses less digits than its factorization.

252643114152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 252643114152 in words is "two hundred fifty-two billion, six hundred forty-three million, one hundred fourteen thousand, one hundred fifty-two".