2667077668161 has 9 divisors (see below), whose sum is σ = 3852452597539. Its totient is φ = 1778048512536.

The previous prime is 2667077668147. The next prime is 2667077668163. The reversal of 2667077668161 is 1618667707662.

It is a happy number.

The square root of 2667077668161 is 1633119.

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., 1642844610225 + 1024233057936 = 1281735^2 + 1012044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2667077668161 - 2³³ = 2658487733569 is a prime.

It is a super-2 number, since 2×2667077668161² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2667077668163) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4627171 + ... + 5171543.

Almost surely, 2^{2667077668161} is an apocalyptic number.

2667077668161 is the 1633119-th square number.

2667077668161 is the 816560-th centered octagonal number.

It is an amenable number.

2667077668161 is a deficient number, since it is larger than the sum of its proper divisors (1185374929378).

2667077668161 is an frugal number, since it uses more digits than its factorization.

2667077668161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088752 (or 544376 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 2667077668161 in words is "two trillion, six hundred sixty-seven billion, seventy-seven million, six hundred sixty-eight thousand, one hundred sixty-one".