463248672165 has 24 divisors (see below), whose sum is σ = 803617808760. Its totient is φ = 246864898944.

The previous prime is 463248672163. The next prime is 463248672167. The reversal of 463248672165 is 561276842364.

463248672165 is a `hidden beast` number, since 4 + 6 + 32 + 486 + 72 + 1 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (463248672163) and next prime (463248672167).

It can be written as a sum of positive squares in 4 ways, for example, as 121651673796 + 341596998369 = 348786^2 + 584463^2 .

It is not a de Polignac number, because 463248672165 - 2¹ = 463248672163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463248672163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4132822 + ... + 4243431.

It is an arithmetic number, because the mean of its divisors is an integer number (33484075365).

Almost surely, 2^463248672165 is an apocalyptic number.

463248672165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463248672165 is a deficient number, since it is larger than the sum of its proper divisors (340369136595).

463248672165 is a wasteful number, since it uses less digits than its factorization.

463248672165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377493 (or 8377490 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 463248672165 in words is "four hundred sixty-three billion, two hundred forty-eight million, six hundred seventy-two thousand, one hundred sixty-five".