11466127904 has 192 divisors, whose sum is σ = 31370250240. Its totient is φ = 3982970880.

The previous prime is 11466127903. The next prime is 11466127973. The reversal of 11466127904 is 40972166411.

11466127904 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 2×11466127904² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11466127903) 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 31 ways as a sum of consecutive naturals, for example, 788669 + ... + 803075.

It is an arithmetic number, because the mean of its divisors is an integer number (163386720).

Almost surely, 2^11466127904 is an apocalyptic number.

11466127904 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 11466127904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685125120).

11466127904 is an abundant number, since it is smaller than the sum of its proper divisors (19904122336).

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

11466127904 is a wasteful number, since it uses less digits than its factorization.

11466127904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14471 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 11466127904 in words is "eleven billion, four hundred sixty-six million, one hundred twenty-seven thousand, nine hundred four".