11466464976 has 200 divisors, whose sum is σ = 34920309600. Its totient is φ = 3627106560.

The previous prime is 11466464969. The next prime is 11466464987. The reversal of 11466464976 is 67946466411.

11466464976 is a `hidden beast` number, since 1 + 146 + 6 + 4 + 6 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2214871 + ... + 2220041.

It is an arithmetic number, because the mean of its divisors is an integer number (174601548).

Almost surely, 2^11466464976 is an apocalyptic number.

11466464976 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 11466464976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460154800).

11466464976 is an abundant number, since it is smaller than the sum of its proper divisors (23453844624).

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

11466464976 is a wasteful number, since it uses less digits than its factorization.

11466464976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5264 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 11466464976 in words is "eleven billion, four hundred sixty-six million, four hundred sixty-four thousand, nine hundred seventy-six".