256456419648 has 224 divisors, whose sum is σ = 844060694400. Its totient is φ = 67516170240.

The previous prime is 256456419629. The next prime is 256456419671. The reversal of 256456419648 is 846914654652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 256456419591 and 256456419600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192028 + ... + 741476.

It is an arithmetic number, because the mean of its divisors is an integer number (3768128100).

Almost surely, 2^256456419648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256456419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422030347200).

256456419648 is an abundant number, since it is smaller than the sum of its proper divisors (587604274752).

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

256456419648 is a wasteful number, since it uses less digits than its factorization.

256456419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549505 (or 549495 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 256456419648 in words is "two hundred fifty-six billion, four hundred fifty-six million, four hundred nineteen thousand, six hundred forty-eight".