1082391234336 has 144 divisors (see below), whose sum is σ = 3260212464600. Its totient is φ = 339459047424.

The previous prime is 1082391234329. The next prime is 1082391234361. The reversal of 1082391234336 is 6334321932801.

1082391234336 is a `hidden beast` number, since 1 + 0 + 82 + 3 + 9 + 1 + 234 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1055509664400 + 26881569936 = 1027380^2 + 163956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1082391234291 and 1082391234300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15087960 + ... + 15159528.

Almost surely, 2^{1082391234336} is an apocalyptic number.

1082391234336 is a gapful number since it is divisible by the number (16) 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 1082391234336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630106232300).

1082391234336 is an abundant number, since it is smaller than the sum of its proper divisors (2177821230264).

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

1082391234336 is a wasteful number, since it uses less digits than its factorization.

1082391234336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74691 (or 74680 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1082391234336 in words is "one trillion, eighty-two billion, three hundred ninety-one million, two hundred thirty-four thousand, three hundred thirty-six".