256414314123 has 192 divisors, whose sum is σ = 452385561600. Its totient is φ = 142981977600.

The previous prime is 256414314119. The next prime is 256414314139. The reversal of 256414314123 is 321413414652.

256414314123 is a `hidden beast` number, since 2 + 5 + 641 + 4 + 3 + 1 + 4 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 256414314123 - 2² = 256414314119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256414314173) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321723961 + ... + 321724757.

It is an arithmetic number, because the mean of its divisors is an integer number (2356174800).

Almost surely, 2^256414314123 is an apocalyptic number.

256414314123 is a deficient number, since it is larger than the sum of its proper divisors (195971247477).

256414314123 is a wasteful number, since it uses less digits than its factorization.

256414314123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 974 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 256414314123 its reverse (321413414652), we get a palindrome (577827728775).

The spelling of 256414314123 in words is "two hundred fifty-six billion, four hundred fourteen million, three hundred fourteen thousand, one hundred twenty-three".