256355045544 has 128 divisors (see below), whose sum is σ = 695825101440. Its totient is φ = 78235103232.

The previous prime is 256355045533. The next prime is 256355045549. The reversal of 256355045544 is 445540553652.

It is a junction number, because it is equal to n+sod(n) for n = 256355045493 and 256355045502.

It is not an unprimeable number, because it can be changed into a prime (256355045549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74672052 + ... + 74675484.

It is an arithmetic number, because the mean of its divisors is an integer number (5436133605).

Almost surely, 2^256355045544 is an apocalyptic number.

256355045544 is a gapful number since it is divisible by the number (24) 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 256355045544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347912550720).

256355045544 is an abundant number, since it is smaller than the sum of its proper divisors (439470055896).

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

256355045544 is a wasteful number, since it uses less digits than its factorization.

256355045544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 48.

The spelling of 256355045544 in words is "two hundred fifty-six billion, three hundred fifty-five million, forty-five thousand, five hundred forty-four".