256229312241 has 48 divisors (see below), whose sum is σ = 398210548608. Its totient is φ = 143559744000.

The previous prime is 256229312237. The next prime is 256229312257. The reversal of 256229312241 is 142213922652.

It is not a de Polignac number, because 256229312241 - 2² = 256229312237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256229312241.

It is not an unprimeable number, because it can be changed into a prime (256229312221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29309131 + ... + 29317871.

It is an arithmetic number, because the mean of its divisors is an integer number (8296053096).

Almost surely, 2^256229312241 is an apocalyptic number.

256229312241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256229312241 is a deficient number, since it is larger than the sum of its proper divisors (141981236367).

256229312241 is an equidigital number, since it uses as much as digits as its factorization.

256229312241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9211 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 256229312241 in words is "two hundred fifty-six billion, two hundred twenty-nine million, three hundred twelve thousand, two hundred forty-one".