211914000320 has 112 divisors (see below), whose sum is σ = 550640999808. Its totient is φ = 77039170560.

The previous prime is 211914000317. The next prime is 211914000349. The reversal of 211914000320 is 23000419112.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21350879 + ... + 21360801.

Almost surely, 2^211914000320 is an apocalyptic number.

211914000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211914000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275320499904).

211914000320 is an abundant number, since it is smaller than the sum of its proper divisors (338726999488).

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

211914000320 is a wasteful number, since it uses less digits than its factorization.

211914000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16018 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211914000320 its reverse (23000419112), we get a palindrome (234914419432).

The spelling of 211914000320 in words is "two hundred eleven billion, nine hundred fourteen million, three hundred twenty", and thus it is an aban number.