3005164334401 has 16 divisors (see below), whose sum is σ = 3180156380928. Its totient is φ = 2833870916800.

The previous prime is 3005164334369. The next prime is 3005164334483. The reversal of 3005164334401 is 1044334615003.

It is a cyclic number.

It is not a de Polignac number, because 3005164334401 - 2⁵ = 3005164334369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3005164034401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43006071 + ... + 43075891.

It is an arithmetic number, because the mean of its divisors is an integer number (198759773808).

Almost surely, 2^{3005164334401} is an apocalyptic number.

It is an amenable number.

3005164334401 is a deficient number, since it is larger than the sum of its proper divisors (174992046527).

3005164334401 is a wasteful number, since it uses less digits than its factorization.

3005164334401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96272.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 3005164334401 its reverse (1044334615003), we get a palindrome (4049498949404).

The spelling of 3005164334401 in words is "three trillion, five billion, one hundred sixty-four million, three hundred thirty-four thousand, four hundred one".