8643148416 has 576 divisors, whose sum is σ = 30855595680. Its totient is φ = 2400233472.

The previous prime is 8643148411. The next prime is 8643148421. The reversal of 8643148416 is 6148413468.

It is an interprime number because it is at equal distance from previous prime (8643148411) and next prime (8643148421).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8643148411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80777035 + ... + 80777141.

Almost surely, 2^8643148416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8643148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427797840).

8643148416 is an abundant number, since it is smaller than the sum of its proper divisors (22212447264).

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

8643148416 is a wasteful number, since it uses less digits than its factorization.

8643148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 8643148416 is about 92968.5345479856. The cubic root of 8643148416 is about 2052.2203518371.

The spelling of 8643148416 in words is "eight billion, six hundred forty-three million, one hundred forty-eight thousand, four hundred sixteen".