36913243443129 has 81 divisors (see below), whose sum is σ = 54755375210991. Its totient is φ = 23963244988320.

The previous prime is 36913243443091. The next prime is 36913243443133. The reversal of 36913243443129 is 92134434231963.

The square root of 36913243443129 is 6075627.

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

36913243443129 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 32 + 43 + 443 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406754399529 + 36506489043600 = 637773^2 + 6042060^2 .

It is not a de Polignac number, because 36913243443129 - 2⁹ = 36913243442617 is a prime.

It is a super-2 number, since 2×36913243443129² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36913243443929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 203940571419 + ... + 203940571599.

Almost surely, 2^{36913243443129} is an apocalyptic number.

36913243443129 is the 6075627-th square number.

36913243443129 is the 3037814-th centered octagonal number.

It is an amenable number.

36913243443129 is a deficient number, since it is larger than the sum of its proper divisors (17842131767862).

36913243443129 is an frugal number, since it uses more digits than its factorization.

36913243443129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 36913243443129 in words is "thirty-six trillion, nine hundred thirteen billion, two hundred forty-three million, four hundred forty-three thousand, one hundred twenty-nine".