11506466664 has 640 divisors, whose sum is σ = 42687406080. Its totient is φ = 2808691200.

The previous prime is 11506466639. The next prime is 11506466701. The reversal of 11506466664 is 46666460511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66511282 + ... + 66511454.

It is an arithmetic number, because the mean of its divisors is an integer number (66699072).

Almost surely, 2^11506466664 is an apocalyptic number.

11506466664 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 11506466664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343703040).

11506466664 is an abundant number, since it is smaller than the sum of its proper divisors (31180939416).

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

11506466664 is a wasteful number, since it uses less digits than its factorization.

11506466664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 11506466664 in words is "eleven billion, five hundred six million, four hundred sixty-six thousand, six hundred sixty-four".