6946645651201 has 9 divisors (see below), whose sum is σ = 6957238626849. Its totient is φ = 6936068791764.

The previous prime is 6946645651151. The next prime is 6946645651223. The reversal of 6946645651201 is 1021565466496.

It is a happy number.

The square root of 6946645651201 is 2635649.

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

It is not a de Polignac number, because 6946645651201 - 2¹⁹ = 6946645126913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6946645651261) 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, 2179680130 + ... + 2179683316.

Almost surely, 2^{6946645651201} is an apocalyptic number.

6946645651201 is the 2635649-th square number.

6946645651201 is the 1317825-th centered octagonal number.

It is an amenable number.

6946645651201 is a deficient number, since it is larger than the sum of its proper divisors (10592975648).

6946645651201 is an frugal number, since it uses more digits than its factorization.

6946645651201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 6946645651201 in words is "six trillion, nine hundred forty-six billion, six hundred forty-five million, six hundred fifty-one thousand, two hundred one".