212134466016 has 288 divisors, whose sum is σ = 672263504640. Its totient is φ = 62909491200.

The previous prime is 212134465999. The next prime is 212134466041. The reversal of 212134466016 is 610664431212.

212134466016 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 4 + 46 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43548061 + ... + 43552931.

It is an arithmetic number, because the mean of its divisors is an integer number (2334248280).

Almost surely, 2^212134466016 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 212134466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336131752320).

212134466016 is an abundant number, since it is smaller than the sum of its proper divisors (460129038624).

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

212134466016 is a wasteful number, since it uses less digits than its factorization.

212134466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 212134466016 its reverse (610664431212), we get a palindrome (822798897228).

The spelling of 212134466016 in words is "two hundred twelve billion, one hundred thirty-four million, four hundred sixty-six thousand, sixteen".