256839146468 has 24 divisors (see below), whose sum is σ = 468628608000. Its totient is φ = 123014995488.

The previous prime is 256839146449. The next prime is 256839146491. The reversal of 256839146468 is 864641938652.

It is a super-3 number, since 3×256839146468³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 256839146468.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8702318 + ... + 8731781.

It is an arithmetic number, because the mean of its divisors is an integer number (19526192000).

Almost surely, 2^256839146468 is an apocalyptic number.

It is an amenable number.

256839146468 is a deficient number, since it is larger than the sum of its proper divisors (211789461532).

256839146468 is a wasteful number, since it uses less digits than its factorization.

256839146468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17434259 (or 17434257 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 62.

The spelling of 256839146468 in words is "two hundred fifty-six billion, eight hundred thirty-nine million, one hundred forty-six thousand, four hundred sixty-eight".