3645314135463 has 144 divisors (see below), whose sum is σ = 6676982903808. Its totient is φ = 1730675232000.

The previous prime is 3645314135423. The next prime is 3645314135483.

It is a happy number.

3645314135463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3645314135463 - 2²² = 3645309941159 is a prime.

It is a super-2 number, since 2×3645314135463² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645314135423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43330306 + ... + 43414352.

It is an arithmetic number, because the mean of its divisors is an integer number (46367936832).

Almost surely, 2^{3645314135463} is an apocalyptic number.

3645314135463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3645314135463 is a deficient number, since it is larger than the sum of its proper divisors (3031668768345).

3645314135463 is a wasteful number, since it uses less digits than its factorization.

3645314135463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84206 (or 84182 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 3645314135463 in words is "three trillion, six hundred forty-five billion, three hundred fourteen million, one hundred thirty-five thousand, four hundred sixty-three".