8148913344 has 672 divisors, whose sum is σ = 29822607360. Its totient is φ = 2090188800.

The previous prime is 8148913343. The next prime is 8148913349. The reversal of 8148913344 is 4433198418.

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

Its product of digits (331776) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 8148913344.

It is not an unprimeable number, because it can be changed into a prime (8148913343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64164609 + ... + 64164735.

It is an arithmetic number, because the mean of its divisors is an integer number (44378880).

Almost surely, 2^8148913344 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 8148913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911303680).

8148913344 is an abundant number, since it is smaller than the sum of its proper divisors (21673694016).

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

8148913344 is a wasteful number, since it uses less digits than its factorization.

8148913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8148913344 is about 90271.3317947620. The cubic root of 8148913344 is about 2012.3332346621. Note that the first 3 decimals are identical.

The spelling of 8148913344 in words is "eight billion, one hundred forty-eight million, nine hundred thirteen thousand, three hundred forty-four".