1022271360768 has 864 divisors, whose sum is σ = 3577654080000. Its totient is φ = 280401149952.

The previous prime is 1022271360703. The next prime is 1022271360809. The reversal of 1022271360768 is 8670631722201.

1022271360768 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 27 + 13 + 607 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2276773408 + ... + 2276773856.

Almost surely, 2^{1022271360768} is an apocalyptic number.

1022271360768 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 1022271360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788827040000).

1022271360768 is an abundant number, since it is smaller than the sum of its proper divisors (2555382719232).

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

1022271360768 is an equidigital number, since it uses as much as digits as its factorization.

1022271360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1022271360768 in words is "one trillion, twenty-two billion, two hundred seventy-one million, three hundred sixty thousand, seven hundred sixty-eight".