1468665608256 has 1792 divisors, whose sum is σ = 5835305779200. Its totient is φ = 355541114880.

The previous prime is 1468665608237. The next prime is 1468665608269. The reversal of 1468665608256 is 6528065668641.

It is a happy number.

1468665608256 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 66 + 560 + 8 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1468665608193 and 1468665608202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11564296065 + ... + 11564296191.

Almost surely, 2^{1468665608256} is an apocalyptic number.

1468665608256 is a gapful number since it is divisible by the number (16) 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 1468665608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917652889600).

1468665608256 is an abundant number, since it is smaller than the sum of its proper divisors (4366640170944).

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

1468665608256 is a wasteful number, since it uses less digits than its factorization.

1468665608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 1468665608256 in words is "one trillion, four hundred sixty-eight billion, six hundred sixty-five million, six hundred eight thousand, two hundred fifty-six".