16674871382400 has 3456 divisors, whose sum is σ = 78356803593600. Its totient is φ = 3086047641600.

The previous prime is 16674871382387. The next prime is 16674871382401. The reversal of 16674871382400 is 428317847661.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16674871382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18384642747 + ... + 18384643653.

It is an arithmetic number, because the mean of its divisors is an integer number (22672686225).

Almost surely, 2^{16674871382400} is an apocalyptic number.

16674871382400 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 16674871382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39178401796800).

16674871382400 is an abundant number, since it is smaller than the sum of its proper divisors (61681932211200).

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

16674871382400 is a wasteful number, since it uses less digits than its factorization.

16674871382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 16674871382400 in words is "sixteen trillion, six hundred seventy-four billion, eight hundred seventy-one million, three hundred eighty-two thousand, four hundred".