1082816213248 has 288 divisors, whose sum is σ = 2793395808000. Its totient is φ = 406490972160.

The previous prime is 1082816213221. The next prime is 1082816213261. The reversal of 1082816213248 is 8423126182801.

It is a junction number, because it is equal to n+sod(n) for n = 1082816213198 and 1082816213207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325266048 + ... + 325269376.

It is an arithmetic number, because the mean of its divisors is an integer number (9699291000).

Almost surely, 2^{1082816213248} 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 1082816213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396697904000).

1082816213248 is an abundant number, since it is smaller than the sum of its proper divisors (1710579594752).

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

1082816213248 is a wasteful number, since it uses less digits than its factorization.

1082816213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 1082816213248 in words is "one trillion, eighty-two billion, eight hundred sixteen million, two hundred thirteen thousand, two hundred forty-eight".