16331993836704 has 288 divisors, whose sum is σ = 57171751588224. Its totient is φ = 4306602608640.

The previous prime is 16331993836699. The next prime is 16331993836727. The reversal of 16331993836704 is 40763839913361.

16331993836704 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 199 + 383 + 67 + 0 + 4 = 666.

16331993836704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162727722 + ... + 162828054.

It is an arithmetic number, because the mean of its divisors is an integer number (198513026348).

Almost surely, 2^{16331993836704} is an apocalyptic number.

16331993836704 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 16331993836704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28585875794112).

16331993836704 is an abundant number, since it is smaller than the sum of its proper divisors (40839757751520).

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

16331993836704 is a wasteful number, since it uses less digits than its factorization.

16331993836704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106580 (or 106569 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 16331993836704 in words is "sixteen trillion, three hundred thirty-one billion, nine hundred ninety-three million, eight hundred thirty-six thousand, seven hundred four".