71280456256 has 63 divisors (see below), whose sum is σ = 147966393043. Its totient is φ = 34067158400.

The previous prime is 71280456239. The next prime is 71280456281. The reversal of 71280456256 is 65265408217.

The square root of 71280456256 is 266984.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49124331 + ... + 49125781.

Almost surely, 2^71280456256 is an apocalyptic number.

71280456256 is the 266984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71280456256

71280456256 is an abundant number, since it is smaller than the sum of its proper divisors (76685936787).

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

71280456256 is an frugal number, since it uses more digits than its factorization.

71280456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 71280456256 in words is "seventy-one billion, two hundred eighty million, four hundred fifty-six thousand, two hundred fifty-six".