822616441344 has 480 divisors, whose sum is σ = 2655148541760. Its totient is φ = 244333117440.

The previous prime is 822616441337. The next prime is 822616441351. The reversal of 822616441344 is 443144616228.

It is a happy number.

822616441344 is a `hidden beast` number, since 8 + 2 + 261 + 6 + 4 + 41 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (822616441337) and next prime (822616441351).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 822616441344.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 537305859 + ... + 537307389.

It is an arithmetic number, because the mean of its divisors is an integer number (5531559462).

Almost surely, 2^822616441344 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 822616441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327574270880).

822616441344 is an abundant number, since it is smaller than the sum of its proper divisors (1832532100416).

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

822616441344 is a wasteful number, since it uses less digits than its factorization.

822616441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1572 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 822616441344 in words is "eight hundred twenty-two billion, six hundred sixteen million, four hundred forty-one thousand, three hundred forty-four".