77339589369849 has 27 divisors (see below), whose sum is σ = 111843643984527. Its totient is φ = 51499379808000.

The previous prime is 77339589369829. The next prime is 77339589369853. The reversal of 77339589369849 is 94896398593377.

The square root of 77339589369849 is 8794293.

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

77339589369849 is a `hidden beast` number, since 7 + 7 + 3 + 3 + 95 + 89 + 369 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77146481856249 + 193107513600 = 8783307^2 + 439440^2 .

It is not a de Polignac number, because 77339589369849 - 2⁵ = 77339589369817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77339589369829) 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, 42238988364 + ... + 42238990194.

Almost surely, 2^{77339589369849} is an apocalyptic number.

77339589369849 is the 8794293-rd square number.

77339589369849 is the 4397147-th centered octagonal number.

It is an amenable number.

77339589369849 is a deficient number, since it is larger than the sum of its proper divisors (34504054614678).

77339589369849 is an frugal number, since it uses more digits than its factorization.

77339589369849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 3435 counting only the distinct ones).

The product of its digits is 66663959040, while the sum is 90.

The spelling of 77339589369849 in words is "seventy-seven trillion, three hundred thirty-nine billion, five hundred eighty-nine million, three hundred sixty-nine thousand, eight hundred forty-nine".