8461505665305 has 320 divisors, whose sum is σ = 19542624583680. Its totient is φ = 3399234854400.

The previous prime is 8461505665297. The next prime is 8461505665309. The reversal of 8461505665305 is 5035665051648.

8461505665305 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 50 + 56 + 6 + 530 + 5 = 666.

It is not a de Polignac number, because 8461505665305 - 2³ = 8461505665297 is a prime.

It is a super-2 number, since 2×8461505665305² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8461505665309) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 963830406 + ... + 963839184.

It is an arithmetic number, because the mean of its divisors is an integer number (61070701824).

Almost surely, 2^{8461505665305} is an apocalyptic number.

It is an amenable number.

8461505665305 is an abundant number, since it is smaller than the sum of its proper divisors (11081118918375).

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

8461505665305 is a wasteful number, since it uses less digits than its factorization.

8461505665305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 8461505665305 in words is "eight trillion, four hundred sixty-one billion, five hundred five million, six hundred sixty-five thousand, three hundred five".