256734145452627 has 12 divisors (see below), whose sum is σ = 384572958620760. Its totient is φ = 171156096968256.

The previous prime is 256734145452619. The next prime is 256734145452679. The reversal of 256734145452627 is 726254541437652.

256734145452627 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 3 + 41 + 4 + 545 + 26 + 27 = 666.

It is not a de Polignac number, because 256734145452627 - 2³ = 256734145452619 is a prime.

It is a super-2 number, since 2×256734145452627² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256734145452607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528259558302 + ... + 528259558787.

It is an arithmetic number, because the mean of its divisors is an integer number (32047746551730).

Almost surely, 2^{256734145452627} is an apocalyptic number.

256734145452627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

256734145452627 is a deficient number, since it is larger than the sum of its proper divisors (127838813168133).

256734145452627 is an equidigital number, since it uses as much as digits as its factorization.

256734145452627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056519117104 (or 1056519117092 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 256734145452627 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-seven".