463240565042364 has 96 divisors (see below), whose sum is σ = 1273124599306560. Its totient is φ = 145160792487936.

The previous prime is 463240565042363. The next prime is 463240565042377.

463240565042364 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 4 + 0 + 56 + 504 + 23 + 64 = 666.

463240565042364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463240565042364² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 463240565042364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463240565042363) 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 31 ways as a sum of consecutive naturals, for example, 145631727 + ... + 148778630.

It is an arithmetic number, because the mean of its divisors is an integer number (13261714576110).

Almost surely, 2^{463240565042364} is an apocalyptic number.

It is an amenable number.

463240565042364 is an abundant number, since it is smaller than the sum of its proper divisors (809884034264196).

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

463240565042364 is a wasteful number, since it uses less digits than its factorization.

463240565042364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294411244 (or 294411236 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 463240565042364 in words is "four hundred sixty-three trillion, two hundred forty billion, five hundred sixty-five million, forty-two thousand, three hundred sixty-four".