18143408402064 has 675 divisors, whose sum is σ = 59321136138537. Its totient is φ = 5172746515200.

The previous prime is 18143408402059. The next prime is 18143408402081. The reversal of 18143408402064 is 46020480434181.

The square root of 18143408402064 is 4259508.

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

18143408402064 is a `hidden beast` number, since 1 + 8 + 1 + 434 + 0 + 8 + 4 + 0 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589989899664 + 17553418502400 = 768108^2 + 4189680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 297432924594 + ... + 297432924654.

Almost surely, 2^{18143408402064} is an apocalyptic number.

18143408402064 is the 4259508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18143408402064

18143408402064 is an abundant number, since it is smaller than the sum of its proper divisors (41177727736473).

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

18143408402064 is an frugal number, since it uses more digits than its factorization.

18143408402064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 18143408402064 in words is "eighteen trillion, one hundred forty-three billion, four hundred eight million, four hundred two thousand, sixty-four".