252256446656 has 56 divisors (see below), whose sum is σ = 514357071360. Its totient is φ = 122679228672.

The previous prime is 252256446649. The next prime is 252256446667. The reversal of 252256446656 is 656644652252.

It is a happy number.

It is a super-2 number, since 2×252256446656² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252256446598 and 252256446607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465965 + ... + 849491.

Almost surely, 2^252256446656 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 252256446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257178535680).

252256446656 is an abundant number, since it is smaller than the sum of its proper divisors (262100624704).

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

252256446656 is a wasteful number, since it uses less digits than its factorization.

252256446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383821 (or 383811 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 53.

The spelling of 252256446656 in words is "two hundred fifty-two billion, two hundred fifty-six million, four hundred forty-six thousand, six hundred fifty-six".