801918459001 has 9 divisors (see below), whose sum is σ = 881458389903. Its totient is φ = 729007825920.

The previous prime is 801918458947. The next prime is 801918459029. The reversal of 801918459001 is 100954819108.

The square root of 801918459001 is 895499.

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

801918459001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 286279572601 + 515638886400 = 535051^2 + 718080^2 .

It is not a de Polignac number, because 801918459001 - 2²³ = 801910070393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801918450001) 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, 9809785 + ... + 9891193.

Almost surely, 2^801918459001 is an apocalyptic number.

801918459001 is the 895499-th square number.

801918459001 is the 447750-th centered octagonal number.

It is an amenable number.

801918459001 is a deficient number, since it is larger than the sum of its proper divisors (79539930902).

801918459001 is an frugal number, since it uses more digits than its factorization.

801918459001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162840 (or 81420 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 801918459001 in words is "eight hundred one billion, nine hundred eighteen million, four hundred fifty-nine thousand, one".