256146319881 has 27 divisors (see below), whose sum is σ = 375289294887. Its totient is φ = 168352097760.

The previous prime is 256146319861. The next prime is 256146319927. The reversal of 256146319881 is 188913641652.

It is a happy number.

The square root of 256146319881 is 506109.

It is a perfect power (a square), and thus also a powerful number.

256146319881 is a `hidden beast` number, since 2 + 5 + 614 + 6 + 3 + 19 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145401129225 + 110745190656 = 381315^2 + 332784^2 .

It is not a de Polignac number, because 256146319881 - 2¹³ = 256146311689 is a prime.

It is a super-2 number, since 2×256146319881² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256146319801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110836716 + ... + 110839026.

Almost surely, 2^256146319881 is an apocalyptic number.

256146319881 is the 506109-th square number.

256146319881 is the 253055-th centered octagonal number.

It is an amenable number.

256146319881 is a deficient number, since it is larger than the sum of its proper divisors (119142975006).

256146319881 is an frugal number, since it uses more digits than its factorization.

256146319881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 2387 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 256146319881 in words is "two hundred fifty-six billion, one hundred forty-six million, three hundred nineteen thousand, eight hundred eighty-one".