256235549472 has 576 divisors, whose sum is σ = 918928281600. Its totient is φ = 69119930880.

The previous prime is 256235549407. The next prime is 256235549501. The reversal of 256235549472 is 274945532652.

256235549472 is a `hidden beast` number, since 2 + 5 + 6 + 23 + 5 + 549 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76922847 + ... + 76926177.

It is an arithmetic number, because the mean of its divisors is an integer number (1595361600).

Almost surely, 2^256235549472 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 256235549472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459464140800).

256235549472 is an abundant number, since it is smaller than the sum of its proper divisors (662692732128).

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

256235549472 is a wasteful number, since it uses less digits than its factorization.

256235549472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3445 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 256235549472 in words is "two hundred fifty-six billion, two hundred thirty-five million, five hundred forty-nine thousand, four hundred seventy-two".