11246880906 has 48 divisors (see below), whose sum is σ = 25462831680. Its totient is φ = 3581012160.

The previous prime is 11246880901. The next prime is 11246880907. The reversal of 11246880906 is 60908864211.

11246880906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11246880906² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11246880901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287566 + ... + 324326.

It is an arithmetic number, because the mean of its divisors is an integer number (530475660).

Almost surely, 2^11246880906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11246880906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731415840).

11246880906 is an abundant number, since it is smaller than the sum of its proper divisors (14215950774).

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

11246880906 is a wasteful number, since it uses less digits than its factorization.

11246880906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37531 (or 37528 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11246880906 in words is "eleven billion, two hundred forty-six million, eight hundred eighty thousand, nine hundred six".