4692123509161 has 27 divisors (see below), whose sum is σ = 5189635433437. Its totient is φ = 4239118367000.

The previous prime is 4692123509159. The next prime is 4692123509173. The reversal of 4692123509161 is 1619053212964.

The square root of 4692123509161 is 2166131.

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

It is not a de Polignac number, because 4692123509161 - 2¹ = 4692123509159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4692123509261) 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 26 ways as a sum of consecutive naturals, for example, 4551040716 + ... + 4551041746.

Almost surely, 2^{4692123509161} is an apocalyptic number.

4692123509161 is the 2166131-st square number.

4692123509161 is the 1083066-th centered octagonal number.

It is an amenable number.

4692123509161 is a deficient number, since it is larger than the sum of its proper divisors (497511924276).

4692123509161 is an frugal number, since it uses more digits than its factorization.

4692123509161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 4692123509161 by its sum of digits (49), we get a square (229914051948889 = 15162917²).

The spelling of 4692123509161 in words is "four trillion, six hundred ninety-two billion, one hundred twenty-three million, five hundred nine thousand, one hundred sixty-one".