493104259814401 has 9 divisors (see below), whose sum is σ = 509524675923459. Its totient is φ = 477197004609600.

The previous prime is 493104259814329. The next prime is 493104259814429. The reversal of 493104259814401 is 104418952401394.

It is a happy number.

The square root of 493104259814401 is 22205951.

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., 19303712172801 + 473800547641600 = 4393599^2 + 21766960^2 .

It is not a de Polignac number, because 493104259814401 - 2⁹ = 493104259813889 is a prime.

It is a super-2 number, since 2×493104259814401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493104259844401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 688026321 + ... + 688742641.

Almost surely, 2^{493104259814401} is an apocalyptic number.

493104259814401 is the 22205951-st square number.

493104259814401 is the 11102976-th centered octagonal number.

It is an amenable number.

493104259814401 is a deficient number, since it is larger than the sum of its proper divisors (16420416109058).

493104259814401 is an frugal number, since it uses more digits than its factorization.

493104259814401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432704 (or 716352 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 493104259814401 in words is "four hundred ninety-three trillion, one hundred four billion, two hundred fifty-nine million, eight hundred fourteen thousand, four hundred one".