1082223288432 has 320 divisors, whose sum is σ = 3678217912320. Its totient is φ = 300334003200.

The previous prime is 1082223288427. The next prime is 1082223288449. The reversal of 1082223288432 is 2348823222801.

1082223288432 is a `hidden beast` number, since 10 + 82 + 22 + 32 + 88 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7776582 + ... + 7914522.

It is an arithmetic number, because the mean of its divisors is an integer number (11494430976).

Almost surely, 2^{1082223288432} is an apocalyptic number.

1082223288432 is a gapful number since it is divisible by the number (12) 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 1082223288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839108956160).

1082223288432 is an abundant number, since it is smaller than the sum of its proper divisors (2595994623888).

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

1082223288432 is a wasteful number, since it uses less digits than its factorization.

1082223288432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138109 (or 138097 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1082223288432 in words is "one trillion, eighty-two billion, two hundred twenty-three million, two hundred eighty-eight thousand, four hundred thirty-two".