214846891168 has 96 divisors (see below), whose sum is σ = 531215193600. Its totient is φ = 84994318080.

The previous prime is 214846891159. The next prime is 214846891177. The reversal of 214846891168 is 861198648412.

214846891168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214846891159) and next prime (214846891177).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610168 + ... + 895543.

It is an arithmetic number, because the mean of its divisors is an integer number (5533491600).

Almost surely, 2^214846891168 is an apocalyptic number.

214846891168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214846891168 is an abundant number, since it is smaller than the sum of its proper divisors (316368302432).

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

214846891168 is a wasteful number, since it uses less digits than its factorization.

214846891168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505755 (or 1505733 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 58.

The spelling of 214846891168 in words is "two hundred fourteen billion, eight hundred forty-six million, eight hundred ninety-one thousand, one hundred sixty-eight".