723493141056 has 567 divisors, whose sum is σ = 2482435283913. Its totient is φ = 200873917440.

The previous prime is 723493141027. The next prime is 723493141073. The reversal of 723493141056 is 650141394327.

The square root of 723493141056 is 850584.

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

723493141056 is a `hidden beast` number, since 72 + 3 + 493 + 1 + 41 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23526651456 + 699966489600 = 153384^2 + 836640^2 .

It is a super-2 number, since 2×723493141056² (a number of 25 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 8716784791 + ... + 8716784873.

Almost surely, 2^723493141056 is an apocalyptic number.

723493141056 is the 850584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723493141056

723493141056 is an abundant number, since it is smaller than the sum of its proper divisors (1758942142857).

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

723493141056 is an equidigital number, since it uses as much as digits as its factorization.

723493141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 723493141056 in words is "seven hundred twenty-three billion, four hundred ninety-three million, one hundred forty-one thousand, fifty-six".