11481329664 has 208 divisors, whose sum is σ = 38876451840. Its totient is φ = 3280158720.

The previous prime is 11481329641. The next prime is 11481329677. The reversal of 11481329664 is 46692318411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766729 + ... + 781559.

Almost surely, 2^11481329664 is an apocalyptic number.

11481329664 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 11481329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438225920).

11481329664 is an abundant number, since it is smaller than the sum of its proper divisors (27395122176).

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

11481329664 is an equidigital number, since it uses as much as digits as its factorization.

11481329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871 (or 14843 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 11481329664 in words is "eleven billion, four hundred eighty-one million, three hundred twenty-nine thousand, six hundred sixty-four".