822542666766912 has 1344 divisors, whose sum is σ = 2944692534784000. Its totient is φ = 213754184810496.

The previous prime is 822542666766911. The next prime is 822542666766913. The reversal of 822542666766912 is 219667666245228.

It is an interprime number because it is at equal distance from previous prime (822542666766911) and next prime (822542666766913).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (822542666766911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 732451171983 + ... + 732451173105.

Almost surely, 2^{822542666766912} 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 822542666766912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472346267392000).

822542666766912 is an abundant number, since it is smaller than the sum of its proper divisors (2122149868017088).

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

822542666766912 is a wasteful number, since it uses less digits than its factorization.

822542666766912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1955 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 822542666766912 in words is "eight hundred twenty-two trillion, five hundred forty-two billion, six hundred sixty-six million, seven hundred sixty-six thousand, nine hundred twelve".