11097096249312 has 216 divisors, whose sum is σ = 33040750841280. Its totient is φ = 3529275724800.

The previous prime is 11097096249307. The next prime is 11097096249359. The reversal of 11097096249312 is 21394269079011.

11097096249312 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 7 + 0 + 9 + 624 + 9 + 3 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44882764 + ... + 45129332.

It is an arithmetic number, because the mean of its divisors is an integer number (152966439080).

Almost surely, 2^{11097096249312} is an apocalyptic number.

11097096249312 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 11097096249312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520375420640).

11097096249312 is an abundant number, since it is smaller than the sum of its proper divisors (21943654591968).

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

11097096249312 is a wasteful number, since it uses less digits than its factorization.

11097096249312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246758 (or 246676 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 11097096249312 in words is "eleven trillion, ninety-seven billion, ninety-six million, two hundred forty-nine thousand, three hundred twelve".