1091824369216 has 189 divisors, whose sum is σ = 2581585202961. Its totient is φ = 456815310336.

The previous prime is 1091824369201. The next prime is 1091824369231. The reversal of 1091824369216 is 6129634281901.

The square root of 1091824369216 is 1044904.

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

It is an interprime number because it is at equal distance from previous prime (1091824369201) and next prime (1091824369231).

It can be written as a sum of positive squares in only one way, i.e., 731709160000 + 360115209216 = 855400^2 + 600096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2750187130 + ... + 2750187526.

Almost surely, 2^{1091824369216} is an apocalyptic number.

1091824369216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1091824369216 is the 1044904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091824369216

1091824369216 is an abundant number, since it is smaller than the sum of its proper divisors (1489760833745).

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

1091824369216 is an frugal number, since it uses more digits than its factorization.

1091824369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 1091824369216 in words is "one trillion, ninety-one billion, eight hundred twenty-four million, three hundred sixty-nine thousand, two hundred sixteen".