256148559744 has 512 divisors, whose sum is σ = 866145484800. Its totient is φ = 65144217600.

The previous prime is 256148559683. The next prime is 256148559847. The reversal of 256148559744 is 447955841652.

256148559744 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 2×256148559744² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 473472114 + ... + 473472654.

It is an arithmetic number, because the mean of its divisors is an integer number (1691690400).

Almost surely, 2^256148559744 is an apocalyptic number.

256148559744 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 256148559744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433072742400).

256148559744 is an abundant number, since it is smaller than the sum of its proper divisors (609996925056).

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

256148559744 is a wasteful number, since it uses less digits than its factorization.

256148559744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 256148559744 in words is "two hundred fifty-six billion, one hundred forty-eight million, five hundred fifty-nine thousand, seven hundred forty-four".