11296309248 has 420 divisors, whose sum is σ = 40600843360. Its totient is φ = 3057647616.

The previous prime is 11296309231. The next prime is 11296309249. The reversal of 11296309248 is 84290369211.

11296309248 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 630 + 9 + 2 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296309249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 594542583 + ... + 594542601.

Almost surely, 2^11296309248 is an apocalyptic number.

11296309248 is a gapful number since it is divisible by the number (18) 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 11296309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300421680).

11296309248 is an abundant number, since it is smaller than the sum of its proper divisors (29304534112).

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

11296309248 is an frugal number, since it uses more digits than its factorization.

11296309248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11296309248 in words is "eleven billion, two hundred ninety-six million, three hundred nine thousand, two hundred forty-eight".