252343144350 has 288 divisors, whose sum is σ = 749483280000. Its totient is φ = 60361977600.

The previous prime is 252343144283. The next prime is 252343144363. The reversal of 252343144350 is 53441343252.

252343144350 is a `hidden beast` number, since 2 + 5 + 234 + 31 + 44 + 350 = 666.

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, 120219601 + ... + 120221699.

It is an arithmetic number, because the mean of its divisors is an integer number (2602372500).

Almost surely, 2^252343144350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252343144350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374741640000).

252343144350 is an abundant number, since it is smaller than the sum of its proper divisors (497140135650).

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

252343144350 is a wasteful number, since it uses less digits than its factorization.

252343144350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

It can be divided in two parts, 252343 and 144350, that added together give a palindrome (396693).

The spelling of 252343144350 in words is "two hundred fifty-two billion, three hundred forty-three million, one hundred forty-four thousand, three hundred fifty".