16662439874304 has 1152 divisors, whose sum is σ = 59355169843200. Its totient is φ = 4511463505920.

The previous prime is 16662439874273. The next prime is 16662439874341. The reversal of 16662439874304 is 40347893426661.

16662439874304 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 (1152).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19533926742 + ... + 19533927594.

Almost surely, 2^{16662439874304} is an apocalyptic number.

16662439874304 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 16662439874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29677584921600).

16662439874304 is an abundant number, since it is smaller than the sum of its proper divisors (42692729968896).

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

16662439874304 is a wasteful number, since it uses less digits than its factorization.

16662439874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 16662439874304 in words is "sixteen trillion, six hundred sixty-two billion, four hundred thirty-nine million, eight hundred seventy-four thousand, three hundred four".