16973411214400 has 189 divisors, whose sum is σ = 42148620352197. Its totient is φ = 6727599244800.

The previous prime is 16973411214371. The next prime is 16973411214401. The reversal of 16973411214400 is 441211437961.

The square root of 16973411214400 is 4119880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6110428037184 + 10862983177216 = 2471928^2 + 3295904^2 .

It is not an unprimeable number, because it can be changed into a prime (16973411214401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 20928989995 + ... + 20928990805.

Almost surely, 2^{16973411214400} is an apocalyptic number.

16973411214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16973411214400 is the 4119880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16973411214400

16973411214400 is an abundant number, since it is smaller than the sum of its proper divisors (25175209137797).

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

16973411214400 is an frugal number, since it uses more digits than its factorization.

16973411214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 16973411214400 in words is "sixteen trillion, nine hundred seventy-three billion, four hundred eleven million, two hundred fourteen thousand, four hundred".