86129923441 has 9 divisors (see below), whose sum is σ = 86530612363. Its totient is φ = 85731085480.

The previous prime is 86129923409. The next prime is 86129923459. The reversal of 86129923441 is 14432992168.

It is a happy number.

The square root of 86129923441 is 293479.

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., 5666927841 + 80462995600 = 75279^2 + 283660^2 .

It is not a de Polignac number, because 86129923441 - 2⁵ = 86129923409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86129963441) 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 8 ways as a sum of consecutive naturals, for example, 78945306 + ... + 78946396.

Almost surely, 2^86129923441 is an apocalyptic number.

86129923441 is the 293479-th square number.

86129923441 is the 146740-th centered octagonal number.

It is an amenable number.

86129923441 is a deficient number, since it is larger than the sum of its proper divisors (400688922).

86129923441 is an frugal number, since it uses more digits than its factorization.

86129923441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 86129923441 by its sum of digits (49), we get a square (4220366248609 = 2054353²).

The spelling of 86129923441 in words is "eighty-six billion, one hundred twenty-nine million, nine hundred twenty-three thousand, four hundred forty-one".