11828082883204 has 81 divisors (see below), whose sum is σ = 24240122549559. Its totient is φ = 5035398575760.

The previous prime is 11828082883147. The next prime is 11828082883207. The reversal of 11828082883204 is 40238828082811.

The square root of 11828082883204 is 3439198.

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

It is not an unprimeable number, because it can be changed into a prime (11828082883207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8040844189 + ... + 8040845659.

Almost surely, 2^{11828082883204} is an apocalyptic number.

11828082883204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11828082883204 is the 3439198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11828082883204

11828082883204 is an abundant number, since it is smaller than the sum of its proper divisors (12412039666355).

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

11828082883204 is an frugal number, since it uses more digits than its factorization.

11828082883204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 55.

The spelling of 11828082883204 in words is "eleven trillion, eight hundred twenty-eight billion, eighty-two million, eight hundred eighty-three thousand, two hundred four".