256295969748 has 384 divisors, whose sum is σ = 828731904000. Its totient is φ = 66697551360.

The previous prime is 256295969729. The next prime is 256295969749. The reversal of 256295969748 is 847969592652.

256295969748 is a `hidden beast` number, since 2 + 5 + 6 + 29 + 596 + 9 + 7 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256295969749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448854303 + ... + 448854873.

It is an arithmetic number, because the mean of its divisors is an integer number (2158156000).

Almost surely, 2^256295969748 is an apocalyptic number.

256295969748 is a gapful number since it is divisible by the number (28) 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 256295969748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414365952000).

256295969748 is an abundant number, since it is smaller than the sum of its proper divisors (572435934252).

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

256295969748 is a wasteful number, since it uses less digits than its factorization.

256295969748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 256295969748 in words is "two hundred fifty-six billion, two hundred ninety-five million, nine hundred sixty-nine thousand, seven hundred forty-eight".