6057077198769 has 15 divisors (see below), whose sum is σ = 9048259521147. Its totient is φ = 4038036699168.

The previous prime is 6057077198747. The next prime is 6057077198779. The reversal of 6057077198769 is 9678917707506.

The square root of 6057077198769 is 2461113.

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

6057077198769 is a `hidden beast` number, since 605 + 7 + 0 + 7 + 7 + 1 + 9 + 8 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5699607138225 + 357470060544 = 2387385^2 + 597888^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6057077198769 is a prime.

It is a super-2 number, since 2×6057077198769² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6057077198697 and 6057077198706.

It is not an unprimeable number, because it can be changed into a prime (6057077198779) 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 14 ways as a sum of consecutive naturals, for example, 22013289 + ... + 22286745.

Almost surely, 2^{6057077198769} is an apocalyptic number.

6057077198769 is the 2461113-rd square number.

6057077198769 is the 1230557-th centered octagonal number.

It is an amenable number.

6057077198769 is a deficient number, since it is larger than the sum of its proper divisors (2991182322378).

6057077198769 is an frugal number, since it uses more digits than its factorization.

6057077198769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546926 (or 273460 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 6057077198769 in words is "six trillion, fifty-seven billion, seventy-seven million, one hundred ninety-eight thousand, seven hundred sixty-nine".