252142453344 has 48 divisors (see below), whose sum is σ = 663492317040. Its totient is φ = 83841976320.

The previous prime is 252142453331. The next prime is 252142453351. The reversal of 252142453344 is 443354241252.

252142453344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3171597 + ... + 3250124.

It is an arithmetic number, because the mean of its divisors is an integer number (13822756605).

Almost surely, 2^252142453344 is an apocalyptic number.

252142453344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252142453344 is an abundant number, since it is smaller than the sum of its proper divisors (411349863696).

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

252142453344 is a wasteful number, since it uses less digits than its factorization.

252142453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422143 (or 6422135 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 252142453344 its reverse (443354241252), we get a palindrome (695496694596).

The spelling of 252142453344 in words is "two hundred fifty-two billion, one hundred forty-two million, four hundred fifty-three thousand, three hundred forty-four".