16173282646404 has 243 divisors, whose sum is σ = 45272384495247. Its totient is φ = 4866074074368.

The previous prime is 16173282646369. The next prime is 16173282646421. The reversal of 16173282646404 is 40464628237161.

The square root of 16173282646404 is 4021602.

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

16173282646404 is a `hidden beast` number, since 1 + 6 + 17 + 328 + 264 + 6 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5361549512004 + 10811733134400 = 2315502^2 + 3288120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14743192384 + ... + 14743193480.

Almost surely, 2^{16173282646404} is an apocalyptic number.

16173282646404 is the 4021602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16173282646404

16173282646404 is an abundant number, since it is smaller than the sum of its proper divisors (29099101848843).

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

16173282646404 is a wasteful number, since it uses less digits than its factorization.

16173282646404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 16173282646404 in words is "sixteen trillion, one hundred seventy-three billion, two hundred eighty-two million, six hundred forty-six thousand, four hundred four".