11397115296 has 288 divisors, whose sum is σ = 38836482048. Its totient is φ = 3099824640.

The previous prime is 11397115271. The next prime is 11397115349. The reversal of 11397115296 is 69251179311.

11397115296 is a `hidden beast` number, since 113 + 9 + 7 + 1 + 1 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12565275 + ... + 12566181.

It is an arithmetic number, because the mean of its divisors is an integer number (134848896).

Almost surely, 2^11397115296 is an apocalyptic number.

11397115296 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 11397115296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418241024).

11397115296 is an abundant number, since it is smaller than the sum of its proper divisors (27439366752).

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

11397115296 is a wasteful number, since it uses less digits than its factorization.

11397115296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1213 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The spelling of 11397115296 in words is "eleven billion, three hundred ninety-seven million, one hundred fifteen thousand, two hundred ninety-six".