45726262569 has 27 divisors (see below), whose sum is σ = 71533610967. Its totient is φ = 28134106416.

The previous prime is 45726262531. The next prime is 45726262609. The reversal of 45726262569 is 96526262754.

The square root of 45726262569 is 213837.

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

45726262569 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 6 + 2 + 625 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6764240025 + 38962022544 = 82245^2 + 197388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-45726262569 is a prime.

It is a super-2 number, since 2×45726262569² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45726262969) 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, 8336902 + ... + 8342384.

Almost surely, 2^45726262569 is an apocalyptic number.

45726262569 is the 213837-th square number.

45726262569 is the 106919-th centered octagonal number.

It is an amenable number.

45726262569 is a deficient number, since it is larger than the sum of its proper divisors (25807348398).

45726262569 is an frugal number, since it uses more digits than its factorization.

45726262569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 5499 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 45726262569 in words is "forty-five billion, seven hundred twenty-six million, two hundred sixty-two thousand, five hundred sixty-nine".