81588242129641 has 27 divisors (see below), whose sum is σ = 89064434231703. Its totient is φ = 74705556547440.

The previous prime is 81588242129579. The next prime is 81588242129677. The reversal of 81588242129641 is 14692124288518.

The square root of 81588242129641 is 9032621.

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., 12069266587225 + 69518975542416 = 3474085^2 + 8337804^2 .

It is not a de Polignac number, because 81588242129641 - 2¹⁵ = 81588242096873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 81588242129641.

It is not an unprimeable number, because it can be changed into a prime (81588242129341) 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, 14912854536 + ... + 14912860006.

Almost surely, 2^{81588242129641} is an apocalyptic number.

81588242129641 is the 9032621-st square number.

81588242129641 is the 4516311-st centered octagonal number.

It is an amenable number.

81588242129641 is a deficient number, since it is larger than the sum of its proper divisors (7476192102062).

81588242129641 is an frugal number, since it uses more digits than its factorization.

81588242129641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 5611 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 61.

The spelling of 81588242129641 in words is "eighty-one trillion, five hundred eighty-eight billion, two hundred forty-two million, one hundred twenty-nine thousand, six hundred forty-one".