11406984816 has 80 divisors (see below), whose sum is σ = 30851775360. Its totient is φ = 3626945280.

The previous prime is 11406984773. The next prime is 11406984817. The reversal of 11406984816 is 61848960411.

11406984816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406984817) 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 15 ways as a sum of consecutive naturals, for example, 66171 + ... + 164901.

It is an arithmetic number, because the mean of its divisors is an integer number (385647192).

Almost surely, 2^11406984816 is an apocalyptic number.

11406984816 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 11406984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425887680).

11406984816 is an abundant number, since it is smaller than the sum of its proper divisors (19444790544).

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

11406984816 is a wasteful number, since it uses less digits than its factorization.

11406984816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98854 (or 98848 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11406984816 in words is "eleven billion, four hundred six million, nine hundred eighty-four thousand, eight hundred sixteen".