214874088200 has 48 divisors (see below), whose sum is σ = 515697826560. Its totient is φ = 83177064000.

The previous prime is 214874088103. The next prime is 214874088211. The reversal of 214874088200 is 2880478412.

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 11 ways as a sum of consecutive naturals, for example, 17322356 + ... + 17334755.

It is an arithmetic number, because the mean of its divisors is an integer number (10743704720).

Almost surely, 2^214874088200 is an apocalyptic number.

214874088200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214874088200 is an abundant number, since it is smaller than the sum of its proper divisors (300823738360).

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

214874088200 is a wasteful number, since it uses less digits than its factorization.

214874088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34657158 (or 34657149 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 44.

The spelling of 214874088200 in words is "two hundred fourteen billion, eight hundred seventy-four million, eighty-eight thousand, two hundred".