256738899648 has 168 divisors, whose sum is σ = 853321428736. Its totient is φ = 66685386240.

The previous prime is 256738899581. The next prime is 256738899661. The reversal of 256738899648 is 846998837652.

256738899648 is digitally balanced in base 3, 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 (168).

It is a self number, because there is not a number n which added to its sum of digits gives 256738899648.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626740 + ... + 951987.

Almost surely, 2^256738899648 is an apocalyptic number.

256738899648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256738899648 is an abundant number, since it is smaller than the sum of its proper divisors (596582529088).

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

256738899648 is a wasteful number, since it uses less digits than its factorization.

256738899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578771 (or 1578750 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 75.

The spelling of 256738899648 in words is "two hundred fifty-six billion, seven hundred thirty-eight million, eight hundred ninety-nine thousand, six hundred forty-eight".