846861903001 has 9 divisors (see below), whose sum is σ = 849834562591. Its totient is φ = 843899615032.

The previous prime is 846861902989. The next prime is 846861903011. The reversal of 846861903001 is 100309168648.

The square root of 846861903001 is 920251.

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., 47404175625 + 799457727376 = 217725^2 + 894124^2 .

It is not a de Polignac number, because 846861903001 - 2⁹ = 846861902489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (846861903011) 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 8 ways as a sum of consecutive naturals, for example, 291718116 + ... + 291721018.

Almost surely, 2^846861903001 is an apocalyptic number.

846861903001 is the 920251-st square number.

846861903001 is the 460126-th centered octagonal number.

It is an amenable number.

846861903001 is a deficient number, since it is larger than the sum of its proper divisors (2972659590).

846861903001 is an frugal number, since it uses more digits than its factorization.

846861903001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 846861903001 in words is "eight hundred forty-six billion, eight hundred sixty-one million, nine hundred three thousand, one".