2191208467968 has 1280 divisors, whose sum is σ = 7696574054400. Its totient is φ = 609499054080.

The previous prime is 2191208467967. The next prime is 2191208467997. The reversal of 2191208467968 is 8697648021912.

2191208467968 is a `hidden beast` number, since 2 + 1 + 91 + 20 + 8 + 467 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191208467961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13442996655 + ... + 13442996817.

It is an arithmetic number, because the mean of its divisors is an integer number (6012948480).

Almost surely, 2^{2191208467968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191208467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848287027200).

2191208467968 is an abundant number, since it is smaller than the sum of its proper divisors (5505365586432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2191208467968 is a wasteful number, since it uses less digits than its factorization.

2191208467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2191208467968 in words is "two trillion, one hundred ninety-one billion, two hundred eight million, four hundred sixty-seven thousand, nine hundred sixty-eight".