256612226146731 has 320 divisors, whose sum is σ = 477105016227840. Its totient is φ = 133844164853760.

The previous prime is 256612226146711. The next prime is 256612226146733. The reversal of 256612226146731 is 137641622216652.

It is a happy number.

256612226146731 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 12 + 2 + 2 + 614 + 6 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 256612226146731 - 2¹⁰ = 256612226145707 is a prime.

It is a super-2 number, since 2×256612226146731² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256612226146733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 231390645205 + ... + 231390646313.

It is an arithmetic number, because the mean of its divisors is an integer number (1490953175712).

Almost surely, 2^{256612226146731} is an apocalyptic number.

256612226146731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256612226146731 is a deficient number, since it is larger than the sum of its proper divisors (220492790081109).

256612226146731 is a wasteful number, since it uses less digits than its factorization.

256612226146731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2159 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 256612226146731 in words is "two hundred fifty-six trillion, six hundred twelve billion, two hundred twenty-six million, one hundred forty-six thousand, seven hundred thirty-one".