256392948672 has 224 divisors, whose sum is σ = 871108646400. Its totient is φ = 72431732736.

The previous prime is 256392948671. The next prime is 256392948689. The reversal of 256392948672 is 276849293652.

It is a happy number.

256392948672 is a `hidden beast` number, since 2 + 5 + 63 + 9 + 29 + 486 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256392948671) 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, 957463 + ... + 1195625.

Almost surely, 2^256392948672 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 256392948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435554323200).

256392948672 is an abundant number, since it is smaller than the sum of its proper divisors (614715697728).

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

256392948672 is a wasteful number, since it uses less digits than its factorization.

256392948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238280 (or 238264 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 256392948672 in words is "two hundred fifty-six billion, three hundred ninety-two million, nine hundred forty-eight thousand, six hundred seventy-two".