45721006116361 has 9 divisors (see below), whose sum is σ = 45780444449991. Its totient is φ = 45661644879912.

The previous prime is 45721006116353. The next prime is 45721006116389. The reversal of 45721006116361 is 16361160012754.

The square root of 45721006116361 is 6761731.

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

It can be written as a sum of positive squares in only one way, i.e., 2640738751225 + 43080267365136 = 1625035^2 + 6563556^2 .

It is not a de Polignac number, because 45721006116361 - 2³ = 45721006116353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45721006116341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5767752580 + ... + 5767760506.

It is an arithmetic number, because the mean of its divisors is an integer number (5086716049999).

Almost surely, 2^{45721006116361} is an apocalyptic number.

45721006116361 is the 6761731-st square number.

45721006116361 is the 3380866-th centered octagonal number.

It is an amenable number.

45721006116361 is a deficient number, since it is larger than the sum of its proper divisors (59438333630).

45721006116361 is an frugal number, since it uses more digits than its factorization.

45721006116361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17560 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 45721006116361 in words is "forty-five trillion, seven hundred twenty-one billion, six million, one hundred sixteen thousand, three hundred sixty-one".