460511505645165 has 192 divisors, whose sum is σ = 931018205295360. Its totient is φ = 208619370270720.

The previous prime is 460511505645143. The next prime is 460511505645193. The reversal of 460511505645165 is 561546505115064.

460511505645165 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 1 + 15 + 0 + 564 + 5 + 1 + 65 = 666.

It is not a de Polignac number, because 460511505645165 - 2⁵ = 460511505645133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101221479 + ... + 105673131.

It is an arithmetic number, because the mean of its divisors is an integer number (4849053152580).

Almost surely, 2^{460511505645165} is an apocalyptic number.

460511505645165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460511505645165 is an abundant number, since it is smaller than the sum of its proper divisors (470506699650195).

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

460511505645165 is a wasteful number, since it uses less digits than its factorization.

460511505645165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451964 (or 4451961 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 460511505645165 in words is "four hundred sixty trillion, five hundred eleven billion, five hundred five million, six hundred forty-five thousand, one hundred sixty-five".