256578454314 has 216 divisors, whose sum is σ = 716556627072. Its totient is φ = 66093693120.

The previous prime is 256578454291. The next prime is 256578454367. The reversal of 256578454314 is 413454875652.

256578454314 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 7 + 84 + 543 + 14 = 666.

256578454314 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 2×256578454314² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6389479 + ... + 6429509.

It is an arithmetic number, because the mean of its divisors is an integer number (3317391792).

Almost surely, 2^256578454314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256578454314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358278313536).

256578454314 is an abundant number, since it is smaller than the sum of its proper divisors (459978172758).

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

256578454314 is a wasteful number, since it uses less digits than its factorization.

256578454314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40122 (or 40099 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 256578454314 in words is "two hundred fifty-six billion, five hundred seventy-eight million, four hundred fifty-four thousand, three hundred fourteen".