61730880849 has 27 divisors (see below), whose sum is σ = 98022838459. Its totient is φ = 37407685920.

The previous prime is 61730880829. The next prime is 61730880901. The reversal of 61730880849 is 94808803716.

The square root of 61730880849 is 248457.

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., 20408122449 + 41322758400 = 142857^2 + 203280^2 .

It is not a de Polignac number, because 61730880849 - 2⁷ = 61730880721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61730880795 and 61730880804.

It is not an unprimeable number, because it can be changed into a prime (61730880829) 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, 8195317 + ... + 8202845.

Almost surely, 2^61730880849 is an apocalyptic number.

61730880849 is the 248457-th square number.

61730880849 is the 124229-th centered octagonal number.

It is an amenable number.

61730880849 is a deficient number, since it is larger than the sum of its proper divisors (36291957610).

61730880849 is an frugal number, since it uses more digits than its factorization.

61730880849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15086 (or 7543 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 61730880849 in words is "sixty-one billion, seven hundred thirty million, eight hundred eighty thousand, eight hundred forty-nine".