822274880000 has 450 divisors, whose sum is σ = 2398684269861. Its totient is φ = 280691712000.

The previous prime is 822274879973. The next prime is 822274880023. The reversal of 822274880000 is 88472228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 45140951296 + 777133928704 = 212464^2 + 881552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641200.

It is a super-4 number, since 4×822274880000⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 822274880000.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3590719886 + ... + 3590720114.

Almost surely, 2^822274880000 is an apocalyptic number.

822274880000 is a gapful number since it is divisible by the number (80) 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 822274880000

822274880000 is an abundant number, since it is smaller than the sum of its proper divisors (1576409389861).

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

822274880000 is an frugal number, since it uses more digits than its factorization.

822274880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The spelling of 822274880000 in words is "eight hundred twenty-two billion, two hundred seventy-four million, eight hundred eighty thousand".