1468016585568 has 432 divisors, whose sum is σ = 4688325218304. Its totient is φ = 435066577920.

The previous prime is 1468016585513. The next prime is 1468016585573. The reversal of 1468016585568 is 8655856108641.

1468016585568 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 1 + 65 + 8 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 336467355 + ... + 336471717.

It is an arithmetic number, because the mean of its divisors is an integer number (10852604672).

Almost surely, 2^{1468016585568} is an apocalyptic number.

1468016585568 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 1468016585568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344162609152).

1468016585568 is an abundant number, since it is smaller than the sum of its proper divisors (3220308632736).

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

1468016585568 is a wasteful number, since it uses less digits than its factorization.

1468016585568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 1468016585568 in words is "one trillion, four hundred sixty-eight billion, sixteen million, five hundred eighty-five thousand, five hundred sixty-eight".