11262304512 has 216 divisors, whose sum is σ = 34066632600. Its totient is φ = 3573448704.

The previous prime is 11262304481. The next prime is 11262304513. The reversal of 11262304512 is 21540326211.

11262304512 is a `hidden beast` number, since 1 + 126 + 23 + 0 + 4 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3822206976 + 7440097536 = 61824^2 + 86256^2 .

It is not an unprimeable number, because it can be changed into a prime (11262304513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876414 + ... + 4878722.

Almost surely, 2^11262304512 is an apocalyptic number.

11262304512 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 11262304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033316300).

11262304512 is an abundant number, since it is smaller than the sum of its proper divisors (22804328088).

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

11262304512 is a wasteful number, since it uses less digits than its factorization.

11262304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11262304512 in words is "eleven billion, two hundred sixty-two million, three hundred four thousand, five hundred twelve".