252256243248 has 640 divisors, whose sum is σ = 813168311040. Its totient is φ = 75461787648.

The previous prime is 252256243241. The next prime is 252256243289. The reversal of 252256243248 is 842342652252.

252256243248 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 562 + 43 + 2 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (252256243241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1606727586 + ... + 1606727742.

It is an arithmetic number, because the mean of its divisors is an integer number (1270575486).

Almost surely, 2^252256243248 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 252256243248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406584155520).

252256243248 is an abundant number, since it is smaller than the sum of its proper divisors (560912067792).

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

252256243248 is a wasteful number, since it uses less digits than its factorization.

252256243248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 252256243248 in words is "two hundred fifty-two billion, two hundred fifty-six million, two hundred forty-three thousand, two hundred forty-eight".