256734145452629 has 48 divisors (see below), whose sum is σ = 295470740017152. Its totient is φ = 222201073695744.

The previous prime is 256734145452619. The next prime is 256734145452679. The reversal of 256734145452629 is 926254541437652.

It is not a de Polignac number, because 256734145452629 - 2⁴⁰ = 255634633824853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256734145452619) 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, 938469464 + ... + 938742990.

It is an arithmetic number, because the mean of its divisors is an integer number (6155640417024).

Almost surely, 2^{256734145452629} is an apocalyptic number.

It is an amenable number.

256734145452629 is a deficient number, since it is larger than the sum of its proper divisors (38736594564523).

256734145452629 is a wasteful number, since it uses less digits than its factorization.

256734145452629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274806 (or 274793 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 65.

The spelling of 256734145452629 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, one hundred forty-five million, four hundred fifty-two thousand, six hundred twenty-nine".