256743017217234 has 48 divisors (see below), whose sum is σ = 565844911107840. Its totient is φ = 84111176947680.

The previous prime is 256743017217233. The next prime is 256743017217241. The reversal of 256743017217234 is 432712710347652.

256743017217234 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 430 + 1 + 7 + 2 + 172 + 34 = 666.

256743017217234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256743017217234² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256743017217233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91480162 + ... + 94244925.

It is an arithmetic number, because the mean of its divisors is an integer number (11788435648080).

Almost surely, 2^{256743017217234} is an apocalyptic number.

256743017217234 is an abundant number, since it is smaller than the sum of its proper divisors (309101893890606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256743017217234 is a wasteful number, since it uses less digits than its factorization.

256743017217234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185726415 (or 185726412 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 256743017217234 in words is "two hundred fifty-six trillion, seven hundred forty-three billion, seventeen million, two hundred seventeen thousand, two hundred thirty-four".