4463132811648 has 128 divisors (see below), whose sum is σ = 13555596913920. Its totient is φ = 1274540722176.

The previous prime is 4463132811629. The next prime is 4463132811653. The reversal of 4463132811648 is 8461182313644.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4463132811648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4952215 + ... + 5783657.

It is an arithmetic number, because the mean of its divisors is an integer number (105903100890).

Almost surely, 2^{4463132811648} is an apocalyptic number.

4463132811648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4463132811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777798456960).

4463132811648 is an abundant number, since it is smaller than the sum of its proper divisors (9092464102272).

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

4463132811648 is a wasteful number, since it uses less digits than its factorization.

4463132811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833464 (or 833452 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 4463132811648 in words is "four trillion, four hundred sixty-three billion, one hundred thirty-two million, eight hundred eleven thousand, six hundred forty-eight".