214348512 has 192 divisors, whose sum is σ = 705438720. Its totient is φ = 55566336.

The previous prime is 214348487. The next prime is 214348613. The reversal of 214348512 is 215843412.

214348512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214348512² = 91890569193228288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214348512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330973 + ... + 331619.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^214348512 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 214348512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

214348512 is an abundant number, since it is smaller than the sum of its proper divisors (491090208).

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

214348512 is a wasteful number, since it uses less digits than its factorization.

214348512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 214348512 is about 14640.6458873917. The cubic root of 214348512 is about 598.4669306111.

The spelling of 214348512 in words is "two hundred fourteen million, three hundred forty-eight thousand, five hundred twelve".