11466491904 has 288 divisors, whose sum is σ = 38134998720. Its totient is φ = 3251404800.

The previous prime is 11466491903. The next prime is 11466491999. The reversal of 11466491904 is 40919466411.

11466491904 is a `hidden beast` number, since 1 + 14 + 66 + 491 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 11466491904.

It is not an unprimeable number, because it can be changed into a prime (11466491903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23353099 + ... + 23353589.

It is an arithmetic number, because the mean of its divisors is an integer number (132413190).

Almost surely, 2^11466491904 is an apocalyptic number.

11466491904 is a gapful number since it is divisible by the number (14) 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 11466491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19067499360).

11466491904 is an abundant number, since it is smaller than the sum of its proper divisors (26668506816).

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

11466491904 is a wasteful number, since it uses less digits than its factorization.

11466491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 684 counting only the distinct ones).

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

The spelling of 11466491904 in words is "eleven billion, four hundred sixty-six million, four hundred ninety-one thousand, nine hundred four".