723930407281 has 27 divisors (see below), whose sum is σ = 759065345163. Its totient is φ = 690406421040.

The previous prime is 723930407257. The next prime is 723930407303. The reversal of 723930407281 is 182704039327.

The square root of 723930407281 is 850841.

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

It can be written as a sum of positive squares in only one way, i.e., 3435014881 + 720495392400 = 58609^2 + 848820^2 .

It is not a de Polignac number, because 723930407281 - 2²⁵ = 723896852849 is a prime.

It is a super-2 number, since 2×723930407281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (723930407381) 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 26 ways as a sum of consecutive naturals, for example, 1719549451 + ... + 1719549871.

Almost surely, 2^723930407281 is an apocalyptic number.

723930407281 is the 850841-st square number.

723930407281 is the 425421-st centered octagonal number.

It is an amenable number.

723930407281 is a deficient number, since it is larger than the sum of its proper divisors (35134937882).

723930407281 is an frugal number, since it uses more digits than its factorization.

723930407281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 723930407281 in words is "seven hundred twenty-three billion, nine hundred thirty million, four hundred seven thousand, two hundred eighty-one".