211414114322300 has 36 divisors (see below), whose sum is σ = 485755017970320. Its totient is φ = 79591195979520.

The previous prime is 211414114322293. The next prime is 211414114322309. The reversal of 211414114322300 is 3223411414112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414114322309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62180620160 + ... + 62180623559.

It is an arithmetic number, because the mean of its divisors is an integer number (13493194943620).

Almost surely, 2^{211414114322300} is an apocalyptic number.

211414114322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211414114322300 is an abundant number, since it is smaller than the sum of its proper divisors (274340903648020).

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

211414114322300 is a wasteful number, since it uses less digits than its factorization.

211414114322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124361243750 (or 124361243743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 211414114322300 its reverse (3223411414112), we get a palindrome (214637525736412).

The spelling of 211414114322300 in words is "two hundred eleven trillion, four hundred fourteen billion, one hundred fourteen million, three hundred twenty-two thousand, three hundred".