256147749072 has 30 divisors (see below), whose sum is σ = 716857937042. Its totient is φ = 85382582976.

The previous prime is 256147749037. The next prime is 256147749073. The reversal of 256147749072 is 270947741652.

256147749072 is a `hidden beast` number, since 2 + 5 + 6 + 14 + 77 + 490 + 72 = 666.

256147749072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 200109496896 + 56038252176 = 447336^2 + 236724^2 .

It is a super-2 number, since 2×256147749072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256147749073) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 889401763 + ... + 889402050.

Almost surely, 2^256147749072 is an apocalyptic number.

It is an amenable number.

256147749072 is an abundant number, since it is smaller than the sum of its proper divisors (460710187970).

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

256147749072 is a wasteful number, since it uses less digits than its factorization.

256147749072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778803827 (or 1778803818 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 256147749072 in words is "two hundred fifty-six billion, one hundred forty-seven million, seven hundred forty-nine thousand, seventy-two".