11437064988129 has 27 divisors (see below), whose sum is σ = 18158749610547. Its totient is φ = 6931486900800.

The previous prime is 11437064988127. The next prime is 11437064988229. The reversal of 11437064988129 is 92188946073411.

The square root of 11437064988129 is 3381873.

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

11437064988129 is a `hidden beast` number, since 1 + 1 + 4 + 370 + 64 + 9 + 88 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11400934581729 + 36130406400 = 3376527^2 + 190080^2 .

It is not a de Polignac number, because 11437064988129 - 2¹ = 11437064988127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11437064988127) 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, 111550569 + ... + 111653049.

Almost surely, 2^{11437064988129} is an apocalyptic number.

11437064988129 is the 3381873-rd square number.

11437064988129 is the 1690937-th centered octagonal number.

It is an amenable number.

11437064988129 is a deficient number, since it is larger than the sum of its proper divisors (6721684622418).

11437064988129 is an frugal number, since it uses more digits than its factorization.

11437064988129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204990 (or 102495 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 11437064988129 in words is "eleven trillion, four hundred thirty-seven billion, sixty-four million, nine hundred eighty-eight thousand, one hundred twenty-nine".