45184934456676 has 189 divisors, whose sum is σ = 137920091685411. Its totient is φ = 12909255300144.

The previous prime is 45184934456659. The next prime is 45184934456707. The reversal of 45184934456676 is 67665443948154.

The square root of 45184934456676 is 6721974.

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

45184934456676 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 493 + 4 + 4 + 5 + 66 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2540897281 + ... + 2540915063.

Almost surely, 2^{45184934456676} is an apocalyptic number.

45184934456676 is the 6721974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45184934456676

45184934456676 is an abundant number, since it is smaller than the sum of its proper divisors (92735157228735).

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

45184934456676 is an frugal number, since it uses more digits than its factorization.

45184934456676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35602 (or 17795 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 45184934456676 in words is "forty-five trillion, one hundred eighty-four billion, nine hundred thirty-four million, four hundred fifty-six thousand, six hundred seventy-six".