16679401385472 has 480 divisors, whose sum is σ = 55337458176000. Its totient is φ = 4737664548864.

The previous prime is 16679401385399. The next prime is 16679401385483. The reversal of 16679401385472 is 27458310497661.

16679401385472 is a `hidden beast` number, since 1 + 6 + 6 + 79 + 4 + 0 + 13 + 8 + 547 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4965583729 + ... + 4965587087.

It is an arithmetic number, because the mean of its divisors is an integer number (115286371200).

It is a 1-persistent number, because it is pandigital, but 2⋅16679401385472 = 33358802770944 is not.

Almost surely, 2^{16679401385472} is an apocalyptic number.

16679401385472 is a gapful number since it is divisible by the number (12) 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 16679401385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27668729088000).

16679401385472 is an abundant number, since it is smaller than the sum of its proper divisors (38658056790528).

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

16679401385472 is a wasteful number, since it uses less digits than its factorization.

16679401385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 16679401385472 in words is "sixteen trillion, six hundred seventy-nine billion, four hundred one million, three hundred eighty-five thousand, four hundred seventy-two".