45705861093321 has 567 divisors, whose sum is σ = 87492811627557. Its totient is φ = 23831965048320.

The previous prime is 45705861093227. The next prime is 45705861093341. The reversal of 45705861093321 is 12339016850754.

It is a happy number.

The square root of 45705861093321 is 6760611.

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

45705861093321 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 586 + 1 + 0 + 9 + 33 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 412691892921 + 45293169200400 = 642411^2 + 6730020^2 .

It is not a de Polignac number, because 45705861093321 - 2⁹ = 45705861092809 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45705861093341) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 443746224156 + ... + 443746224258.

It is a 1-persistent number, because it is pandigital, but 2⋅45705861093321 = 91411722186642 is not.

Almost surely, 2^{45705861093321} is an apocalyptic number.

45705861093321 is the 6760611-st square number.

45705861093321 is the 3380306-th centered octagonal number.

It is an amenable number.

45705861093321 is a deficient number, since it is larger than the sum of its proper divisors (41786950534236).

45705861093321 is a wasteful number, since it uses less digits than its factorization.

45705861093321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 45705861093321 in words is "forty-five trillion, seven hundred five billion, eight hundred sixty-one million, ninety-three thousand, three hundred twenty-one".