2149065108961 has 9 divisors (see below), whose sum is σ = 2153950521489. Its totient is φ = 2144190762036.

The previous prime is 2149065108907. The next prime is 2149065109003. The reversal of 2149065108961 is 1698015609412.

The square root of 2149065108961 is 1465969.

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

It is not a de Polignac number, because 2149065108961 - 2⁷ = 2149065108833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2149065108899 and 2149065108908.

It is not an unprimeable number, because it can be changed into a prime (2149065108901) 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, 766700386 + ... + 766703188.

It is an arithmetic number, because the mean of its divisors is an integer number (239327835721).

Almost surely, 2^{2149065108961} is an apocalyptic number.

2149065108961 is the 1465969-th square number.

2149065108961 is the 732985-th centered octagonal number.

It is an amenable number.

2149065108961 is a deficient number, since it is larger than the sum of its proper divisors (4885412528).

2149065108961 is an frugal number, since it uses more digits than its factorization.

2149065108961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 2149065108961 in words is "two trillion, one hundred forty-nine billion, sixty-five million, one hundred eight thousand, nine hundred sixty-one".