214814056200 has 96 divisors (see below), whose sum is σ = 678488270400. Its totient is φ = 56202914560.

The previous prime is 214814056189. The next prime is 214814056229. The reversal of 214814056200 is 2650418412.

It is a happy number.

It is a super-2 number, since 2×214814056200² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3345780 + ... + 3409379.

It is an arithmetic number, because the mean of its divisors is an integer number (7067586150).

Almost surely, 2^214814056200 is an apocalyptic number.

214814056200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214814056200 is an abundant number, since it is smaller than the sum of its proper divisors (463674214200).

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

214814056200 is a wasteful number, since it uses less digits than its factorization.

214814056200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755231 (or 6755222 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 214814056200 in words is "two hundred fourteen billion, eight hundred fourteen million, fifty-six thousand, two hundred".