1022009079168 has 768 divisors, whose sum is σ = 3720383447040. Its totient is φ = 261598740480.

The previous prime is 1022009079167. The next prime is 1022009079199. The reversal of 1022009079168 is 8619709002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022009079167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2895209680 + ... + 2895210032.

It is an arithmetic number, because the mean of its divisors is an integer number (4844249280).

Almost surely, 2^{1022009079168} is an apocalyptic number.

1022009079168 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 1022009079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860191723520).

1022009079168 is an abundant number, since it is smaller than the sum of its proper divisors (2698374367872).

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

1022009079168 is a wasteful number, since it uses less digits than its factorization.

1022009079168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1022009079168 in words is "one trillion, twenty-two billion, nine million, seventy-nine thousand, one hundred sixty-eight".