214034334344300 has 36 divisors (see below), whose sum is σ = 465667180559616. Its totient is φ = 85390199169600.

The previous prime is 214034334344251. The next prime is 214034334344309. The reversal of 214034334344300 is 3443433430412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214034334344309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2794143611 + ... + 2794220210.

Almost surely, 2^{214034334344300} is an apocalyptic number.

214034334344300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214034334344300 is an abundant number, since it is smaller than the sum of its proper divisors (251632846215316).

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

214034334344300 is a wasteful number, since it uses less digits than its factorization.

214034334344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588364218 (or 5588364211 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 214034334344300 its reverse (3443433430412), we get a palindrome (217477767774712).

The spelling of 214034334344300 in words is "two hundred fourteen trillion, thirty-four billion, three hundred thirty-four million, three hundred forty-four thousand, three hundred".