1063081821816 has 304 divisors, whose sum is σ = 3486784398000. Its totient is φ = 303737663376.

The previous prime is 1063081821797. The next prime is 1063081821839. The reversal of 1063081821816 is 6181281803601.

The cubic root of 1063081821816 is 10206.

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

1063081821816 is a `hidden beast` number, since 1 + 0 + 630 + 8 + 1 + 8 + 2 + 1 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×1063081821816² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 75 ways as a sum of consecutive naturals, for example, 151868831685 + ... + 151868831691.

Almost surely, 2^{1063081821816} 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 1063081821816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743392199000).

1063081821816 is an abundant number, since it is smaller than the sum of its proper divisors (2423702576184).

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

1063081821816 is an frugal number, since it uses more digits than its factorization.

1063081821816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1063081821816 in words is "one trillion, sixty-three billion, eighty-one million, eight hundred twenty-one thousand, eight hundred sixteen".