2967609916801 has 4 divisors (see below), whose sum is σ = 3003364253232. Its totient is φ = 2931855580372.

The previous prime is 2967609916787. The next prime is 2967609916819. The reversal of 2967609916801 is 1086199067692.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2967609916801 - 2⁹ = 2967609916289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2967609916891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17877168091 + ... + 17877168256.

It is an arithmetic number, because the mean of its divisors is an integer number (750841063308).

Almost surely, 2^{2967609916801} is an apocalyptic number.

It is an amenable number.

2967609916801 is a deficient number, since it is larger than the sum of its proper divisors (35754336431).

2967609916801 is an equidigital number, since it uses as much as digits as its factorization.

2967609916801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754336430.

The product of its (nonzero) digits is 17635968, while the sum is 64.

The spelling of 2967609916801 in words is "two trillion, nine hundred sixty-seven billion, six hundred nine million, nine hundred sixteen thousand, eight hundred one".