1068216836544 has 1344 divisors, whose sum is σ = 3867246609408. Its totient is φ = 277497446400.

The previous prime is 1068216836539. The next prime is 1068216836563. The reversal of 1068216836544 is 4456386128601.

1068216836544 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 2 + 1 + 68 + 36 + 544 = 666.

It is a super-2 number, since 2×1068216836544² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10371037197 + ... + 10371037299.

It is an arithmetic number, because the mean of its divisors is an integer number (2877415632).

Almost surely, 2^{1068216836544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068216836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933623304704).

1068216836544 is an abundant number, since it is smaller than the sum of its proper divisors (2799029772864).

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

1068216836544 is a wasteful number, since it uses less digits than its factorization.

1068216836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

It can be divided in two parts, 106821 and 6836544, that multiplied together give a square (730286466624 = 854568²).

The spelling of 1068216836544 in words is "one trillion, sixty-eight billion, two hundred sixteen million, eight hundred thirty-six thousand, five hundred forty-four".