12164563234461 has 16 divisors (see below), whose sum is σ = 17696865835008. Its totient is φ = 7371231034800.

The previous prime is 12164563234423. The next prime is 12164563234493. The reversal of 12164563234461 is 16443236546121.

It is not a de Polignac number, because 12164563234461 - 2¹⁰ = 12164563233437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12164563234461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164563238461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30587725 + ... + 30982866.

It is an arithmetic number, because the mean of its divisors is an integer number (1106054114688).

Almost surely, 2^{12164563234461} is an apocalyptic number.

12164563234461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12164563234461 is a deficient number, since it is larger than the sum of its proper divisors (5532302600547).

12164563234461 is a wasteful number, since it uses less digits than its factorization.

12164563234461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61576592.

The product of its digits is 2488320, while the sum is 48.

The spelling of 12164563234461 in words is "twelve trillion, one hundred sixty-four billion, five hundred sixty-three million, two hundred thirty-four thousand, four hundred sixty-one".