252232033344 has 224 divisors, whose sum is σ = 750414430080. Its totient is φ = 74301308928.

The previous prime is 252232033337. The next prime is 252232033351. The reversal of 252232033344 is 443330232252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252232033337) and next prime (252232033351).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6989812 + ... + 7025804.

It is an arithmetic number, because the mean of its divisors is an integer number (3350064420).

Almost surely, 2^252232033344 is an apocalyptic number.

252232033344 is a gapful number since it is divisible by the number (24) 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 252232033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375207215040).

252232033344 is an abundant number, since it is smaller than the sum of its proper divisors (498182396736).

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

252232033344 is a wasteful number, since it uses less digits than its factorization.

252232033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36157 (or 36147 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 33.

Adding to 252232033344 its reverse (443330232252), we get a palindrome (695562265596).

The spelling of 252232033344 in words is "two hundred fifty-two billion, two hundred thirty-two million, thirty-three thousand, three hundred forty-four".