1956168674161 has 27 divisors (see below), whose sum is σ = 2131432108353. Its totient is φ = 1794499518240.

The previous prime is 1956168674147. The next prime is 1956168674167. The reversal of 1956168674161 is 1614768616591.

It is a happy number.

The square root of 1956168674161 is 1398631.

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

It can be written as a sum of positive squares in 4 ways, for example, as 90649768561 + 1865518905600 = 301081^2 + 1365840^2 .

It is not a de Polignac number, because 1956168674161 - 2¹⁷ = 1956168543089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1956168674161.

It is not an unprimeable number, because it can be changed into a prime (1956168674167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4927376815 + ... + 4927377211.

It is an arithmetic number, because the mean of its divisors is an integer number (78941929939).

Almost surely, 2^{1956168674161} is an apocalyptic number.

1956168674161 is the 1398631-st square number.

1956168674161 is the 699316-th centered octagonal number.

It is an amenable number.

1956168674161 is a deficient number, since it is larger than the sum of its proper divisors (175263434192).

1956168674161 is an frugal number, since it uses more digits than its factorization.

1956168674161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 61.

The spelling of 1956168674161 in words is "one trillion, nine hundred fifty-six billion, one hundred sixty-eight million, six hundred seventy-four thousand, one hundred sixty-one".