1068097446144 has 135 divisors (see below), whose sum is σ = 3185317144317. Its totient is φ = 355982874624.

The previous prime is 1068097446103. The next prime is 1068097446149. The reversal of 1068097446144 is 4416447908601.

The square root of 1068097446144 is 1033488.

It is a perfect power (a square), and thus also a powerful number.

1068097446144 is a `hidden beast` number, since 10 + 6 + 8 + 0 + 9 + 7 + 4 + 4 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 997281849600 + 70815596544 = 998640^2 + 266112^2 .

It is a super-2 number, since 2×1068097446144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1068097446149) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 148818684 + ... + 148825860.

Almost surely, 2^{1068097446144} is an apocalyptic number.

1068097446144 is the 1033488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068097446144

1068097446144 is an abundant number, since it is smaller than the sum of its proper divisors (2117219698173).

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

1068097446144 is an frugal number, since it uses more digits than its factorization.

1068097446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14382 (or 7182 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1068097446144 in words is "one trillion, sixty-eight billion, ninety-seven million, four hundred forty-six thousand, one hundred forty-four".