212681696171616 has 480 divisors, whose sum is σ = 721303323535872. Its totient is φ = 60219561093120.

The previous prime is 212681696171591. The next prime is 212681696171677. The reversal of 212681696171616 is 616171696186212.

212681696171616 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 8 + 1 + 6 + 9 + 6 + 1 + 7 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1002839860 + ... + 1003051916.

Almost surely, 2^{212681696171616} 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 212681696171616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360651661767936).

212681696171616 is an abundant number, since it is smaller than the sum of its proper divisors (508621627364256).

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

212681696171616 is a wasteful number, since it uses less digits than its factorization.

212681696171616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212584 (or 212567 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 212681696171616 in words is "two hundred twelve trillion, six hundred eighty-one billion, six hundred ninety-six million, one hundred seventy-one thousand, six hundred sixteen".