11321662464 has 528 divisors, whose sum is σ = 39932220960. Its totient is φ = 3158507520.

The previous prime is 11321662453. The next prime is 11321662483. The reversal of 11321662464 is 46426612311.

11321662464 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 6 + 624 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 82639804 + ... + 82639940.

Almost surely, 2^11321662464 is an apocalyptic number.

11321662464 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 11321662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966110480).

11321662464 is an abundant number, since it is smaller than the sum of its proper divisors (28610558496).

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

11321662464 is a wasteful number, since it uses less digits than its factorization.

11321662464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 11321662464 in words is "eleven billion, three hundred twenty-one million, six hundred sixty-two thousand, four hundred sixty-four".