214869816 has 192 divisors, whose sum is σ = 702187200. Its totient is φ = 58060800.

The previous prime is 214869797. The next prime is 214869821. The reversal of 214869816 is 618968412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891456 + ... + 891696.

It is an arithmetic number, because the mean of its divisors is an integer number (3657225).

Almost surely, 2^214869816 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 214869816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351093600).

214869816 is an abundant number, since it is smaller than the sum of its proper divisors (487317384).

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

214869816 is a wasteful number, since it uses less digits than its factorization.

214869816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 214869816 is about 14658.4383888598. The cubic root of 214869816 is about 598.9517028552.

The spelling of 214869816 in words is "two hundred fourteen million, eight hundred sixty-nine thousand, eight hundred sixteen".