822933141158016 has 2304 divisors, whose sum is σ = 3045313664640000. Its totient is φ = 211834782351360.

The previous prime is 822933141157987. The next prime is 822933141158083. The reversal of 822933141158016 is 610851141339228.

822933141158016 is a `hidden beast` number, since 8 + 2 + 2 + 9 + 3 + 3 + 1 + 41 + 1 + 580 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 992681713890 + ... + 992681714718.

It is an arithmetic number, because the mean of its divisors is an integer number (1321750722500).

Almost surely, 2^{822933141158016} 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 822933141158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522656832320000).

822933141158016 is an abundant number, since it is smaller than the sum of its proper divisors (2222380523481984).

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

822933141158016 is a wasteful number, since it uses less digits than its factorization.

822933141158016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 822933141158016 in words is "eight hundred twenty-two trillion, nine hundred thirty-three billion, one hundred forty-one million, one hundred fifty-eight thousand, sixteen".