211094820414 has 80 divisors (see below), whose sum is σ = 503037704400. Its totient is φ = 65974196736.

The previous prime is 211094820401. The next prime is 211094820421. The reversal of 211094820414 is 414028490112.

211094820414 is a `hidden beast` number, since 211 + 0 + 9 + 4 + 8 + 20 + 414 = 666.

It is a super-2 number, since 2×211094820414² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54949 + ... + 652080.

It is an arithmetic number, because the mean of its divisors is an integer number (6287971305).

Almost surely, 2^211094820414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211094820414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251518852200).

211094820414 is an abundant number, since it is smaller than the sum of its proper divisors (291942883986).

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

211094820414 is a wasteful number, since it uses less digits than its factorization.

211094820414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707159 (or 707150 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 211094820414 in words is "two hundred eleven billion, ninety-four million, eight hundred twenty thousand, four hundred fourteen".