211616394912 has 192 divisors, whose sum is σ = 667173024000. Its totient is φ = 64869755904.

The previous prime is 211616394907. The next prime is 211616394949. The reversal of 211616394912 is 219493616112.

211616394912 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 1 + 639 + 4 + 9 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 2986389 + ... + 3056427.

It is an arithmetic number, because the mean of its divisors is an integer number (3474859500).

Almost surely, 2^211616394912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211616394912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333586512000).

211616394912 is an abundant number, since it is smaller than the sum of its proper divisors (455556629088).

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

211616394912 is a wasteful number, since it uses less digits than its factorization.

211616394912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70340 (or 70326 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 211616394912 in words is "two hundred eleven billion, six hundred sixteen million, three hundred ninety-four thousand, nine hundred twelve".