256374275456 has 64 divisors (see below), whose sum is σ = 552226021200. Its totient is φ = 117854976000.

The previous prime is 256374275419. The next prime is 256374275459. The reversal of 256374275456 is 654572473652.

256374275456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256374275459) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 110750 + ... + 724578.

Almost surely, 2^256374275456 is an apocalyptic number.

256374275456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256374275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276113010600).

256374275456 is an abundant number, since it is smaller than the sum of its proper divisors (295851745744).

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

256374275456 is a wasteful number, since it uses less digits than its factorization.

256374275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614107 (or 614095 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 56.

The spelling of 256374275456 in words is "two hundred fifty-six billion, three hundred seventy-four million, two hundred seventy-five thousand, four hundred fifty-six".