16944524066080 has 384 divisors, whose sum is σ = 44304812310528. Its totient is φ = 6084963397632.

The previous prime is 16944524066047. The next prime is 16944524066123. The reversal of 16944524066080 is 8066042544961.

It is a happy number.

16944524066080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×16944524066080⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19103183397 + ... + 19103184283.

It is an arithmetic number, because the mean of its divisors is an integer number (115377115392).

Almost surely, 2^{16944524066080} is an apocalyptic number.

16944524066080 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 16944524066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152406155264).

16944524066080 is an abundant number, since it is smaller than the sum of its proper divisors (27360288244448).

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

16944524066080 is a wasteful number, since it uses less digits than its factorization.

16944524066080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 16944524066080 in words is "sixteen trillion, nine hundred forty-four billion, five hundred twenty-four million, sixty-six thousand, eighty".