1068468192000 has 2304 divisors, whose sum is σ = 4649802393600. Its totient is φ = 238878720000.

The previous prime is 1068468191927. The next prime is 1068468192031. The reversal of 1068468192000 is 2918648601.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1068468192000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11015135952 + ... + 11015136048.

It is an arithmetic number, because the mean of its divisors is an integer number (2018143400).

Almost surely, 2^{1068468192000} is an apocalyptic number.

1068468192000 is a gapful number since it is divisible by the number (10) 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 1068468192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324901196800).

1068468192000 is an abundant number, since it is smaller than the sum of its proper divisors (3581334201600).

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

1068468192000 is a wasteful number, since it uses less digits than its factorization.

1068468192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1068468192000 in words is "one trillion, sixty-eight billion, four hundred sixty-eight million, one hundred ninety-two thousand".