5906416417344 has 189 divisors, whose sum is σ = 17081995189129. Its totient is φ = 1951248898560.

The previous prime is 5906416417339. The next prime is 5906416417351. The reversal of 5906416417344 is 4437146146095.

It is a happy number.

The square root of 5906416417344 is 2430312.

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

5906416417344 is a `hidden beast` number, since 59 + 0 + 6 + 416 + 4 + 173 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 375867086400 + 5530549330944 = 613080^2 + 2351712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7640900542 + ... + 7640901314.

Almost surely, 2^{5906416417344} is an apocalyptic number.

5906416417344 is the 2430312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5906416417344

5906416417344 is an abundant number, since it is smaller than the sum of its proper divisors (11175578771785).

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

5906416417344 is an frugal number, since it uses more digits than its factorization.

5906416417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5906416417344 in words is "five trillion, nine hundred six billion, four hundred sixteen million, four hundred seventeen thousand, three hundred forty-four".