16671673164100 has 72 divisors (see below), whose sum is σ = 36961552309248. Its totient is φ = 6524258899200.

The previous prime is 16671673164079. The next prime is 16671673164173. The reversal of 16671673164100 is 146137617661.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11493184 + ... + 12862216.

It is an arithmetic number, because the mean of its divisors is an integer number (513354893184).

Almost surely, 2^{16671673164100} is an apocalyptic number.

16671673164100 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 16671673164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480776154624).

16671673164100 is an abundant number, since it is smaller than the sum of its proper divisors (20289879145148).

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

16671673164100 is a wasteful number, since it uses less digits than its factorization.

16671673164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371685 (or 1371678 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 16671673164100 in words is "sixteen trillion, six hundred seventy-one billion, six hundred seventy-three million, one hundred sixty-four thousand, one hundred".