16481880544064 has 224 divisors, whose sum is σ = 38443819276800. Its totient is φ = 6941919559680.

The previous prime is 16481880544061. The next prime is 16481880544139. The reversal of 16481880544064 is 46044508818461.

It is a junction number, because it is equal to n+sod(n) for n = 16481880543994 and 16481880544012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16481880544061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197542484 + ... + 197625900.

It is an arithmetic number, because the mean of its divisors is an integer number (171624193200).

Almost surely, 2^{16481880544064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16481880544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19221909638400).

16481880544064 is an abundant number, since it is smaller than the sum of its proper divisors (21961938732736).

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

16481880544064 is a wasteful number, since it uses less digits than its factorization.

16481880544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83921 (or 83911 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 59.

The spelling of 16481880544064 in words is "sixteen trillion, four hundred eighty-one billion, eight hundred eighty million, five hundred forty-four thousand, sixty-four".