2167611342961 has 9 divisors (see below), whose sum is σ = 2172671562841. Its totient is φ = 2162562891412.

The previous prime is 2167611342947. The next prime is 2167611342973. The reversal of 2167611342961 is 1692431167612.

The square root of 2167611342961 is 1472281.

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

It is not a de Polignac number, because 2167611342961 - 2¹³ = 2167611334769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2167611342931) 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, 740555880 + ... + 740558806.

Almost surely, 2^{2167611342961} is an apocalyptic number.

2167611342961 is the 1472281-st square number.

2167611342961 is the 736141-st centered octagonal number.

It is an amenable number.

2167611342961 is a deficient number, since it is larger than the sum of its proper divisors (5060219880).

2167611342961 is an frugal number, since it uses more digits than its factorization.

2167611342961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 3430 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

Multiplying 2167611342961 by its sum of digits (49), we get a square (106212955805089 = 10305967²).

The spelling of 2167611342961 in words is "two trillion, one hundred sixty-seven billion, six hundred eleven million, three hundred forty-two thousand, nine hundred sixty-one".