214211433314300 has 72 divisors (see below), whose sum is σ = 497256314121504. Its totient is φ = 79812919664640.

The previous prime is 214211433314297. The next prime is 214211433314323. The reversal of 214211433314300 is 3413334112412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649354304 + ... + 649684103.

It is an arithmetic number, because the mean of its divisors is an integer number (6906337696132).

Almost surely, 2^{214211433314300} is an apocalyptic number.

214211433314300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211433314300 is an abundant number, since it is smaller than the sum of its proper divisors (283044880807204).

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

214211433314300 is a wasteful number, since it uses less digits than its factorization.

214211433314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299038535 (or 1299038528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 214211433314300 its reverse (3413334112412), we get a palindrome (217624767426712).

The spelling of 214211433314300 in words is "two hundred fourteen trillion, two hundred eleven billion, four hundred thirty-three million, three hundred fourteen thousand, three hundred".