191009206116 has 81 divisors (see below), whose sum is σ = 504893527411. Its totient is φ = 60882255984.

The previous prime is 191009206039. The next prime is 191009206181. The reversal of 191009206116 is 611602900191.

The square root of 191009206116 is 437046.

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

191009206116 is a `hidden beast` number, since 1 + 9 + 10 + 0 + 9 + 20 + 611 + 6 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60310765 + ... + 60313931.

Almost surely, 2^191009206116 is an apocalyptic number.

191009206116 is the 437046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191009206116

191009206116 is an abundant number, since it is smaller than the sum of its proper divisors (313884321295).

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

191009206116 is an equidigital number, since it uses as much as digits as its factorization.

191009206116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

Multiplying 191009206116 by its sum of digits (36), we get a square (6876331420176 = 2622276²).

191009206116 divided by its sum of digits (36) gives a square (5305811281 = 72841²).

The spelling of 191009206116 in words is "one hundred ninety-one billion, nine million, two hundred six thousand, one hundred sixteen".