458961981866404 has 27 divisors (see below), whose sum is σ = 814660641455521. Its totient is φ = 226247364662480.

The previous prime is 458961981866393. The next prime is 458961981866447. The reversal of 458961981866404 is 404668189169854.

The square root of 458961981866404 is 21423398.

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., 40957414440804 + 418004567425600 = 6399798^2 + 20445160^2 .

It is a super-2 number, since 2×458961981866404² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3042047082 + ... + 3042197950.

Almost surely, 2^{458961981866404} is an apocalyptic number.

458961981866404 is the 21423398-th square number.

It is an amenable number.

458961981866404 is a deficient number, since it is larger than the sum of its proper divisors (355698659589117).

458961981866404 is an frugal number, since it uses more digits than its factorization.

458961981866404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301884 (or 150942 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 79.

The spelling of 458961981866404 in words is "four hundred fifty-eight trillion, nine hundred sixty-one billion, nine hundred eighty-one million, eight hundred sixty-six thousand, four hundred four".