723226542016257 has 12 divisors (see below), whose sum is σ = 1046203633905300. Its totient is φ = 481438840373088.

The previous prime is 723226542016217. The next prime is 723226542016273. The reversal of 723226542016257 is 752610245622327.

723226542016257 is a `hidden beast` number, since 7 + 2 + 3 + 2 + 2 + 6 + 5 + 4 + 2 + 0 + 1 + 625 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 702720506783376 + 20506035232881 = 26508876^2 + 4528359^2 .

It is not a de Polignac number, because 723226542016257 - 2⁸ = 723226542016001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (723226542016217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59348963382 + ... + 59348975567.

It is an arithmetic number, because the mean of its divisors is an integer number (87183636158775).

Almost surely, 2^{723226542016257} is an apocalyptic number.

It is an amenable number.

723226542016257 is a deficient number, since it is larger than the sum of its proper divisors (322977091889043).

723226542016257 is a wasteful number, since it uses less digits than its factorization.

723226542016257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118697939632 (or 118697939629 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 723226542016257 in words is "seven hundred twenty-three trillion, two hundred twenty-six billion, five hundred forty-two million, sixteen thousand, two hundred fifty-seven".