11450666304 has 448 divisors, whose sum is σ = 43013376000. Its totient is φ = 2900275200.

The previous prime is 11450666303. The next prime is 11450666321. The reversal of 11450666304 is 40366605411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11450666304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11450666303) 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 63 ways as a sum of consecutive naturals, for example, 5454247 + ... + 5456345.

It is an arithmetic number, because the mean of its divisors is an integer number (96012000).

Almost surely, 2^11450666304 is an apocalyptic number.

11450666304 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 11450666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688000).

11450666304 is an abundant number, since it is smaller than the sum of its proper divisors (31562709696).

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

11450666304 is a wasteful number, since it uses less digits than its factorization.

11450666304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11450666304 in words is "eleven billion, four hundred fifty million, six hundred sixty-six thousand, three hundred four".