212414806790784 has 2304 divisors, whose sum is σ = 755548360519680. Its totient is φ = 56789544075264.

The previous prime is 212414806790749. The next prime is 212414806790789. The reversal of 212414806790784 is 487097608414212.

212414806790784 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 480 + 6 + 79 + 0 + 7 + 84 = 666.

It is a super-2 number, since 2×212414806790784² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212414806790789) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 388326885999 + ... + 388326886545.

It is an arithmetic number, because the mean of its divisors is an integer number (327928975920).

Almost surely, 2^{212414806790784} is an apocalyptic number.

212414806790784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212414806790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377774180259840).

212414806790784 is an abundant number, since it is smaller than the sum of its proper divisors (543133553728896).

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

212414806790784 is a wasteful number, since it uses less digits than its factorization.

212414806790784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 212414806790784 in words is "two hundred twelve trillion, four hundred fourteen billion, eight hundred six million, seven hundred ninety thousand, seven hundred eighty-four".