1077574791969 has 81 divisors (see below), whose sum is σ = 1728337393107. Its totient is φ = 646655117472.

The previous prime is 1077574791961. The next prime is 1077574791971. The reversal of 1077574791969 is 9691974757701.

The square root of 1077574791969 is 1038063.

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

1077574791969 is a `hidden beast` number, since 10 + 7 + 7 + 57 + 479 + 1 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159404555025 + 918170236944 = 399255^2 + 958212^2 .

It is not a de Polignac number, because 1077574791969 - 2³ = 1077574791961 is a prime.

It is a super-2 number, since 2×1077574791969² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077574791897 and 1077574791906.

It is not an unprimeable number, because it can be changed into a prime (1077574791961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1740831342 + ... + 1740831960.

Almost surely, 2^{1077574791969} is an apocalyptic number.

1077574791969 is the 1038063-rd square number.

1077574791969 is the 519032-nd centered octagonal number.

It is an amenable number.

1077574791969 is a deficient number, since it is larger than the sum of its proper divisors (650762601138).

1077574791969 is an frugal number, since it uses more digits than its factorization.

1077574791969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 210039480, while the sum is 72.

The spelling of 1077574791969 in words is "one trillion, seventy-seven billion, five hundred seventy-four million, seven hundred ninety-one thousand, nine hundred sixty-nine".