3648456548463 has 32 divisors (see below), whose sum is σ = 4926394916352. Its totient is φ = 2401551504000.

The previous prime is 3648456548459. The next prime is 3648456548519.

It is a happy number.

3648456548463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3648456548463 - 2² = 3648456548459 is a prime.

It is a super-2 number, since 2×3648456548463² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3648456548394 and 3648456548403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648456548563) 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, 252289053 + ... + 252303513.

It is an arithmetic number, because the mean of its divisors is an integer number (153949841136).

Almost surely, 2^{3648456548463} is an apocalyptic number.

3648456548463 is a deficient number, since it is larger than the sum of its proper divisors (1277938367889).

3648456548463 is a wasteful number, since it uses less digits than its factorization.

3648456548463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815.

The product of its digits is 796262400, while the sum is 66.

The spelling of 3648456548463 in words is "three trillion, six hundred forty-eight billion, four hundred fifty-six million, five hundred forty-eight thousand, four hundred sixty-three".