256096265048064 has 1183 divisors, whose sum is σ = 896225861145007. Its totient is φ = 73170361442304.

The previous prime is 256096265048059. The next prime is 256096265048081. The reversal of 256096265048064 is 460840562690652.

It is a happy number.

The square root of 256096265048064 is 16003008.

The cubic root of 256096265048064 is 63504.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

256096265048064 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 9 + 62 + 6 + 504 + 8 + 0 + 64 = 666.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256096265047992 and 256096265048010.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 36585180721149 + ... + 36585180721155.

Almost surely, 2^{256096265048064} is an apocalyptic number.

256096265048064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

256096265048064 is the 16003008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256096265048064

256096265048064 is an abundant number, since it is smaller than the sum of its proper divisors (640129596096943).

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

256096265048064 is an frugal number, since it uses more digits than its factorization.

256096265048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 256096265048064 in words is "two hundred fifty-six trillion, ninety-six billion, two hundred sixty-five million, forty-eight thousand, sixty-four".