8148881664 has 576 divisors, whose sum is σ = 30658037760. Its totient is φ = 2073600000.

The previous prime is 8148881659. The next prime is 8148881687. The reversal of 8148881664 is 4661888418.

It is a happy number.

8148881664 is a `hidden beast` number, since 81 + 488 + 81 + 6 + 6 + 4 = 666.

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

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

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 8148881664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32465539 + ... + 32465789.

It is an arithmetic number, because the mean of its divisors is an integer number (53225760).

Almost surely, 2^8148881664 is an apocalyptic number.

8148881664 is a gapful number since it is divisible by the number (84) 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 8148881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329018880).

8148881664 is an abundant number, since it is smaller than the sum of its proper divisors (22509156096).

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

8148881664 is a wasteful number, since it uses less digits than its factorization.

8148881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 8148881664 is about 90271.1563236010. The cubic root of 8148881664 is about 2012.3306269197.

The spelling of 8148881664 in words is "eight billion, one hundred forty-eight million, eight hundred eighty-one thousand, six hundred sixty-four".