11681932416 has 384 divisors, whose sum is σ = 39829776000. Its totient is φ = 3030128640.

The previous prime is 11681932387. The next prime is 11681932447. The reversal of 11681932416 is 61423918611.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15936786 + ... + 15937518.

It is an arithmetic number, because the mean of its divisors is an integer number (103723375).

Almost surely, 2^11681932416 is an apocalyptic number.

11681932416 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 11681932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914888000).

11681932416 is an abundant number, since it is smaller than the sum of its proper divisors (28147843584).

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

11681932416 is an equidigital number, since it uses as much as digits as its factorization.

11681932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 756 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The spelling of 11681932416 in words is "eleven billion, six hundred eighty-one million, nine hundred thirty-two thousand, four hundred sixteen".