11249307792 has 30 divisors (see below), whose sum is σ = 31482438182. Its totient is φ = 3749769216.

The previous prime is 11249307763. The next prime is 11249307821. The reversal of 11249307792 is 29770394211.

11249307792 is a `hidden beast` number, since 1 + 1 + 2 + 493 + 0 + 77 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (11249307763) and next prime (11249307821).

It can be written as a sum of positive squares in only one way, i.e., 10372200336 + 877107456 = 101844^2 + 29616^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39059953 + ... + 39060240.

Almost surely, 2^11249307792 is an apocalyptic number.

11249307792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11249307792 is an abundant number, since it is smaller than the sum of its proper divisors (20233130390).

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

11249307792 is a wasteful number, since it uses less digits than its factorization.

11249307792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78120207 (or 78120198 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 11249307792 in words is "eleven billion, two hundred forty-nine million, three hundred seven thousand, seven hundred ninety-two".