16311696432000 has 512 divisors, whose sum is σ = 54969875251200. Its totient is φ = 4278179840000.

The previous prime is 16311696431993. The next prime is 16311696432007. The reversal of 16311696432000 is 23469611361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16311696431993) and next prime (16311696432007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16311696432007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815942005 + ... + 815961995.

It is an arithmetic number, because the mean of its divisors is an integer number (107363037600).

Almost surely, 2^{16311696432000} is an apocalyptic number.

16311696432000 is a gapful number since it is divisible by the number (10) 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 16311696432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27484937625600).

16311696432000 is an abundant number, since it is smaller than the sum of its proper divisors (38658178819200).

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

16311696432000 is a wasteful number, since it uses less digits than its factorization.

16311696432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20303 (or 20281 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 16311696432000 in words is "sixteen trillion, three hundred eleven billion, six hundred ninety-six million, four hundred thirty-two thousand".