1022213168928 has 576 divisors, whose sum is σ = 3459244658688. Its totient is φ = 280264458240.

The previous prime is 1022213168897. The next prime is 1022213168939. The reversal of 1022213168928 is 8298613122201.

1022213168928 is a `hidden beast` number, since 10 + 2 + 221 + 316 + 89 + 28 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2236790076 + ... + 2236790532.

It is an arithmetic number, because the mean of its divisors is an integer number (6005633088).

Almost surely, 2^{1022213168928} is an apocalyptic number.

1022213168928 is a gapful number since it is divisible by the number (18) 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 1022213168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729622329344).

1022213168928 is an abundant number, since it is smaller than the sum of its proper divisors (2437031489760).

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

1022213168928 is a wasteful number, since it uses less digits than its factorization.

1022213168928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1022213168928 in words is "one trillion, twenty-two billion, two hundred thirteen million, one hundred sixty-eight thousand, nine hundred twenty-eight".