30805397168121 has 27 divisors (see below), whose sum is σ = 46962357385359. Its totient is φ = 19455840507312.

The previous prime is 30805397168111. The next prime is 30805397168219. The reversal of 30805397168121 is 12186179350803.

The square root of 30805397168121 is 5550261.

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

30805397168121 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 539 + 7 + 1 + 6 + 81 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1267954821225 + 29537442346896 = 1126035^2 + 5434836^2 .

It is not a de Polignac number, because 30805397168121 - 2¹⁵ = 30805397135353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30805397168111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 316316191 + ... + 316413563.

Almost surely, 2^{30805397168121} is an apocalyptic number.

30805397168121 is the 5550261-st square number.

30805397168121 is the 2775131-st centered octagonal number.

It is an amenable number.

30805397168121 is a deficient number, since it is larger than the sum of its proper divisors (16156960217238).

30805397168121 is an frugal number, since it uses more digits than its factorization.

30805397168121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194790 (or 97395 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 30805397168121 in words is "thirty trillion, eight hundred five billion, three hundred ninety-seven million, one hundred sixty-eight thousand, one hundred twenty-one".