712308992256 has 135 divisors (see below), whose sum is σ = 2124338982073. Its totient is φ = 237395819520.

The previous prime is 712308992251. The next prime is 712308992261. The reversal of 712308992256 is 652299803217.

The square root of 712308992256 is 843984.

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

712308992256 is a `hidden beast` number, since 71 + 230 + 8 + 9 + 92 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (712308992251) and next prime (712308992261).

It can be written as a sum of positive squares in only one way, i.e., 321733990656 + 390575001600 = 567216^2 + 624960^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712308992251) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 121530766 + ... + 121536626.

Almost surely, 2^712308992256 is an apocalyptic number.

712308992256 is the 843984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712308992256

712308992256 is an abundant number, since it is smaller than the sum of its proper divisors (1412029989817).

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

712308992256 is an frugal number, since it uses more digits than its factorization.

712308992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11750 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 712308992256 in words is "seven hundred twelve billion, three hundred eight million, nine hundred ninety-two thousand, two hundred fifty-six".