256729311607 has 24 divisors (see below), whose sum is σ = 281120127120. Its totient is φ = 234028771200.

The previous prime is 256729311581. The next prime is 256729311617. The reversal of 256729311607 is 706113927652.

It is not a de Polignac number, because 256729311607 - 2²³ = 256720922999 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256729311617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030288 + ... + 1254970.

It is an arithmetic number, because the mean of its divisors is an integer number (11713338630).

Almost surely, 2^256729311607 is an apocalyptic number.

256729311607 is a deficient number, since it is larger than the sum of its proper divisors (24390815513).

256729311607 is a wasteful number, since it uses less digits than its factorization.

256729311607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224815 (or 224784 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 256729311607 in words is "two hundred fifty-six billion, seven hundred twenty-nine million, three hundred eleven thousand, six hundred seven".