9967813819201 has 8 divisors (see below), whose sum is σ = 11391842493504. Its totient is φ = 8543798962800.

The previous prime is 9967813819199. The next prime is 9967813819211. The reversal of 9967813819201 is 1029183187699.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9967813819201 - 2¹ = 9967813819199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9967813819211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1859590 + ... + 4836703.

It is an arithmetic number, because the mean of its divisors is an integer number (1423980311688).

Almost surely, 2^{9967813819201} is an apocalyptic number.

It is an amenable number.

9967813819201 is a deficient number, since it is larger than the sum of its proper divisors (1424028674303).

9967813819201 is a wasteful number, since it uses less digits than its factorization.

9967813819201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908951.

The product of its (nonzero) digits is 11757312, while the sum is 64.

The spelling of 9967813819201 in words is "nine trillion, nine hundred sixty-seven billion, eight hundred thirteen million, eight hundred nineteen thousand, two hundred one".