441516746303361 has 12 divisors (see below), whose sum is σ = 639261248414100. Its totient is φ = 293645341956960.

The previous prime is 441516746303333. The next prime is 441516746303387. The reversal of 441516746303361 is 163303647615144.

441516746303361 is a `hidden beast` number, since 4 + 4 + 1 + 516 + 7 + 4 + 6 + 30 + 33 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61912662771600 + 379604083531761 = 7868460^2 + 19483431^2 .

It is not a de Polignac number, because 441516746303361 - 2¹¹ = 441516746301313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 441516746303298 and 441516746303307.

It is not an unprimeable number, because it can be changed into a prime (441516746373361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58262960886 + ... + 58262968463.

It is an arithmetic number, because the mean of its divisors is an integer number (53271770701175).

Almost surely, 2^{441516746303361} is an apocalyptic number.

It is an amenable number.

441516746303361 is a deficient number, since it is larger than the sum of its proper divisors (197744502110739).

441516746303361 is a wasteful number, since it uses less digits than its factorization.

441516746303361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116525929776 (or 116525929773 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 441516746303361 in words is "four hundred forty-one trillion, five hundred sixteen billion, seven hundred forty-six million, three hundred three thousand, three hundred sixty-one".