1026568141368 has 384 divisors, whose sum is σ = 3292435641600. Its totient is φ = 263741184000.

The previous prime is 1026568141351. The next prime is 1026568141381. The reversal of 1026568141368 is 8631418656201.

It is a happy number.

1026568141368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1026568141368² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1026568141368.

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, 569998068 + ... + 569999868.

It is an arithmetic number, because the mean of its divisors is an integer number (8574051150).

Almost surely, 2^{1026568141368} 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 1026568141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646217820800).

1026568141368 is an abundant number, since it is smaller than the sum of its proper divisors (2265867500232).

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

1026568141368 is a wasteful number, since it uses less digits than its factorization.

1026568141368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1026568141368 in words is "one trillion, twenty-six billion, five hundred sixty-eight million, one hundred forty-one thousand, three hundred sixty-eight".