252440467217664 has 144 divisors (see below), whose sum is σ = 733369382860800. Its totient is φ = 76452082145280.

The previous prime is 252440467217593. The next prime is 252440467217681. The reversal of 252440467217664 is 466712764044252.

It is a junction number, because it is equal to n+sod(n) for n = 252440467217598 and 252440467217607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5559249 + ... + 23147055.

Almost surely, 2^{252440467217664} is an apocalyptic number.

252440467217664 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 252440467217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366684691430400).

252440467217664 is an abundant number, since it is smaller than the sum of its proper divisors (480928915643136).

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

252440467217664 is a wasteful number, since it uses less digits than its factorization.

252440467217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589536 (or 17589522 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 60.

The spelling of 252440467217664 in words is "two hundred fifty-two trillion, four hundred forty billion, four hundred sixty-seven million, two hundred seventeen thousand, six hundred sixty-four".