45891628240896 has 585 divisors, whose sum is σ = 144920806433271. Its totient is φ = 14468681023488.

The previous prime is 45891628240891. The next prime is 45891628240903. The reversal of 45891628240896 is 69804282619854.

The square root of 45891628240896 is 6774336.

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

45891628240896 is a `hidden beast` number, since 4 + 5 + 89 + 1 + 62 + 82 + 408 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45891628240891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74138332875 + ... + 74138333493.

Almost surely, 2^{45891628240896} is an apocalyptic number.

45891628240896 is the 6774336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45891628240896

45891628240896 is an abundant number, since it is smaller than the sum of its proper divisors (99029178192375).

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

45891628240896 is an frugal number, since it uses more digits than its factorization.

45891628240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 45891628240896 in words is "forty-five trillion, eight hundred ninety-one billion, six hundred twenty-eight million, two hundred forty thousand, eight hundred ninety-six".