256623705352 has 256 divisors, whose sum is σ = 617621760000. Its totient is φ = 97489889280.

The previous prime is 256623705347. The next prime is 256623705413. The reversal of 256623705352 is 253507326652.

It is a happy number.

It is a super-2 number, since 2×256623705352² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132895827 + ... + 132897757.

It is an arithmetic number, because the mean of its divisors is an integer number (2412585000).

Almost surely, 2^256623705352 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 256623705352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308810880000).

256623705352 is an abundant number, since it is smaller than the sum of its proper divisors (360998054648).

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

256623705352 is a wasteful number, since it uses less digits than its factorization.

256623705352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 46.

The spelling of 256623705352 in words is "two hundred fifty-six billion, six hundred twenty-three million, seven hundred five thousand, three hundred fifty-two".