66454826832289 has 135 divisors (see below), whose sum is σ = 82020051633177. Its totient is φ = 53839086956928.

The previous prime is 66454826832269. The next prime is 66454826832293. The reversal of 66454826832289 is 98223862845466.

The square root of 66454826832289 is 8151983.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5678770022289 + 60776056810000 = 2383017^2 + 7795900^2 .

It is not a de Polignac number, because 66454826832289 - 2³¹ = 66452679348641 is a prime.

It is a super-2 number, since 2×66454826832289² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (66454826832239) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 910340093557 + ... + 910340093629.

Almost surely, 2^{66454826832289} is an apocalyptic number.

66454826832289 is the 8151983-rd square number.

66454826832289 is the 4075992-nd centered octagonal number.

It is an amenable number.

66454826832289 is a deficient number, since it is larger than the sum of its proper divisors (15565224800888).

66454826832289 is an frugal number, since it uses more digits than its factorization.

66454826832289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 176 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 73.

The spelling of 66454826832289 in words is "sixty-six trillion, four hundred fifty-four billion, eight hundred twenty-six million, eight hundred thirty-two thousand, two hundred eighty-nine".