256613072147441 has 8 divisors (see below), whose sum is σ = 267770336167680. Its totient is φ = 245455822621152.

The previous prime is 256613072147357. The next prime is 256613072147477. The reversal of 256613072147441 is 144741270316652.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256613072147441 - 2¹⁸ = 256613071885297 is a prime.

It is a super-3 number, since 3×256613072147441³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256613072140441) 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 7 ways as a sum of consecutive naturals, for example, 48523565 + ... + 53551493.

It is an arithmetic number, because the mean of its divisors is an integer number (33471292020960).

Almost surely, 2^{256613072147441} is an apocalyptic number.

It is an amenable number.

256613072147441 is a deficient number, since it is larger than the sum of its proper divisors (11157264020239).

256613072147441 is a wasteful number, since it uses less digits than its factorization.

256613072147441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246975.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 256613072147441 in words is "two hundred fifty-six trillion, six hundred thirteen billion, seventy-two million, one hundred forty-seven thousand, four hundred forty-one".