214326406116 has 243 divisors, whose sum is σ = 595368643779. Its totient is φ = 64998741600.

The previous prime is 214326406043. The next prime is 214326406139. The reversal of 214326406116 is 611604623412.

The square root of 214326406116 is 462954.

It is a perfect power (a square), and thus also a powerful number.

214326406116 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 2 + 640 + 6 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1636079371 + ... + 1636079501.

Almost surely, 2^214326406116 is an apocalyptic number.

214326406116 is the 462954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214326406116

214326406116 is an abundant number, since it is smaller than the sum of its proper divisors (381042237663).

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

214326406116 is a wasteful number, since it uses less digits than its factorization.

214326406116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 214326406116 by its sum of digits (36), we get a square (7715750620176 = 2777724²).

214326406116 divided by its sum of digits (36) gives a square (5953511281 = 77159²).

The spelling of 214326406116 in words is "two hundred fourteen billion, three hundred twenty-six million, four hundred six thousand, one hundred sixteen".