45431522764681 has 9 divisors (see below), whose sum is σ = 45509215738791. Its totient is φ = 45353962236144.

The previous prime is 45431522764669. The next prime is 45431522764721. The reversal of 45431522764681 is 18646722513454.

It is a happy number.

The square root of 45431522764681 is 6740291.

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

45431522764681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1399273702281 + 44032249062400 = 1182909^2 + 6635680^2 .

It is not a de Polignac number, because 45431522764681 - 2⁷ = 45431522764553 is a prime.

It is a super-2 number, since 2×45431522764681² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45431522764601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4172234685 + ... + 4172245573.

Almost surely, 2^{45431522764681} is an apocalyptic number.

45431522764681 is the 6740291-st square number.

45431522764681 is the 3370146-th centered octagonal number.

It is an amenable number.

45431522764681 is a deficient number, since it is larger than the sum of its proper divisors (77692974110).

45431522764681 is an frugal number, since it uses more digits than its factorization.

45431522764681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23016 (or 11508 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 58.

The spelling of 45431522764681 in words is "forty-five trillion, four hundred thirty-one billion, five hundred twenty-two million, seven hundred sixty-four thousand, six hundred eighty-one".