214664830512 has 320 divisors, whose sum is σ = 646638993408. Its totient is φ = 60746112000.

The previous prime is 214664830469. The next prime is 214664830579. The reversal of 214664830512 is 215038466412.

214664830512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214664830512³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76911837 + ... + 76914627.

Almost surely, 2^214664830512 is an apocalyptic number.

214664830512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214664830512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323319496704).

214664830512 is an abundant number, since it is smaller than the sum of its proper divisors (431974162896).

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

214664830512 is a wasteful number, since it uses less digits than its factorization.

214664830512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 214664830512 in words is "two hundred fourteen billion, six hundred sixty-four million, eight hundred thirty thousand, five hundred twelve".