1468095868512 has 864 divisors, whose sum is σ = 5462833888512. Its totient is φ = 377974066176.

The previous prime is 1468095868511. The next prime is 1468095868537. The reversal of 1468095868512 is 2158685908641.

1468095868512 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 9 + 58 + 68 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1468095868512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468095868511) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 821541283 + ... + 821543069.

It is an arithmetic number, because the mean of its divisors is an integer number (6322724408).

Almost surely, 2^{1468095868512} is an apocalyptic number.

1468095868512 is a gapful number since it is divisible by the number (12) 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 1468095868512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731416944256).

1468095868512 is an abundant number, since it is smaller than the sum of its proper divisors (3994738020000).

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

1468095868512 is an equidigital number, since it uses as much as digits as its factorization.

1468095868512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 1468095868512 in words is "one trillion, four hundred sixty-eight billion, ninety-five million, eight hundred sixty-eight thousand, five hundred twelve".