212993666583168 has 128 divisors (see below), whose sum is σ = 568663281901440. Its totient is φ = 70634682777600.

The previous prime is 212993666583127. The next prime is 212993666583223. The reversal of 212993666583168 is 861385666399212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 212993666583168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94296696 + ... + 96529032.

It is an arithmetic number, because the mean of its divisors is an integer number (4442681889855).

Almost surely, 2^{212993666583168} 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 212993666583168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284331640950720).

212993666583168 is an abundant number, since it is smaller than the sum of its proper divisors (355669615318272).

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

212993666583168 is a wasteful number, since it uses less digits than its factorization.

212993666583168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233626 (or 2233614 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 75.

The spelling of 212993666583168 in words is "two hundred twelve trillion, nine hundred ninety-three billion, six hundred sixty-six million, five hundred eighty-three thousand, one hundred sixty-eight".