212355881419416 has 256 divisors, whose sum is σ = 645954186240000. Its totient is φ = 56823926049792.

The previous prime is 212355881419403. The next prime is 212355881419433. The reversal of 212355881419416 is 614914188553212.

It is a self number, because there is not a number n which added to its sum of digits gives 212355881419416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1687135701 + ... + 1687261563.

It is an arithmetic number, because the mean of its divisors is an integer number (2523258540000).

Almost surely, 2^{212355881419416} 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 212355881419416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322977093120000).

212355881419416 is an abundant number, since it is smaller than the sum of its proper divisors (433598304820584).

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

212355881419416 is a wasteful number, since it uses less digits than its factorization.

212355881419416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131926 (or 131922 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 60.

The spelling of 212355881419416 in words is "two hundred twelve trillion, three hundred fifty-five billion, eight hundred eighty-one million, four hundred nineteen thousand, four hundred sixteen".