846534325329 has 135 divisors (see below), whose sum is σ = 1570712005499. Its totient is φ = 438985229760.

The previous prime is 846534325319. The next prime is 846534325331. The reversal of 846534325329 is 923523435648.

The square root of 846534325329 is 920073.

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

846534325329 is a `hidden beast` number, since 8 + 4 + 6 + 534 + 32 + 53 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139522419729 + 707011905600 = 373527^2 + 840840^2 .

It is not a de Polignac number, because 846534325329 - 2⁹ = 846534324817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (846534325319) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1487757757 + ... + 1487758325.

Almost surely, 2^846534325329 is an apocalyptic number.

846534325329 is the 920073-rd square number.

846534325329 is the 460037-th centered octagonal number.

It is an amenable number.

846534325329 is a deficient number, since it is larger than the sum of its proper divisors (724177680170).

846534325329 is an frugal number, since it uses more digits than its factorization.

846534325329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 590 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 846534325329 in words is "eight hundred forty-six billion, five hundred thirty-four million, three hundred twenty-five thousand, three hundred twenty-nine".