45579261049 has 15 divisors (see below), whose sum is σ = 53184847407. Its totient is φ = 39058971336.

The previous prime is 45579261043. The next prime is 45579261059. The reversal of 45579261049 is 94016297554.

The square root of 45579261049 is 213493.

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

It can be written as a sum of positive squares in only one way, i.e., 45537426025 + 41835024 = 213395^2 + 6468^2 .

It is not a de Polignac number, because 45579261049 - 2³ = 45579261041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45579260987 and 45579261005.

It is not an unprimeable number, because it can be changed into a prime (45579261041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10458979 + ... + 10463335.

Almost surely, 2^45579261049 is an apocalyptic number.

45579261049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45579261049 is the 213493-rd square number.

45579261049 is the 106747-th centered octagonal number.

It is an amenable number.

45579261049 is a deficient number, since it is larger than the sum of its proper divisors (7605586358).

45579261049 is an frugal number, since it uses more digits than its factorization.

45579261049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 45579261049 in words is "forty-five billion, five hundred seventy-nine million, two hundred sixty-one thousand, forty-nine".