6934168824961 has 9 divisors (see below), whose sum is σ = 8066299463361. Its totient is φ = 5943557478852.

The previous prime is 6934168824949. The next prime is 6934168825009. The reversal of 6934168824961 is 1694288614396.

The square root of 6934168824961 is 2633281.

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

It is not a de Polignac number, because 6934168824961 - 2⁷ = 6934168824833 is a prime.

It is a super-2 number, since 2×6934168824961² (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 (6934168824931) 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, 18244876 + ... + 18621058.

It is an arithmetic number, because the mean of its divisors is an integer number (896255495929).

Almost surely, 2^{6934168824961} is an apocalyptic number.

6934168824961 is the 2633281-st square number.

6934168824961 is the 1316641-st centered octagonal number.

It is an amenable number.

6934168824961 is a deficient number, since it is larger than the sum of its proper divisors (1132130638400).

6934168824961 is an frugal number, since it uses more digits than its factorization.

6934168824961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752380 (or 376190 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The spelling of 6934168824961 in words is "six trillion, nine hundred thirty-four billion, one hundred sixty-eight million, eight hundred twenty-four thousand, nine hundred sixty-one".