8148410424 has 384 divisors, whose sum is σ = 28293857280. Its totient is φ = 2057529600.

The previous prime is 8148410393. The next prime is 8148410441. The reversal of 8148410424 is 4240148418.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49990167 + ... + 49990329.

It is an arithmetic number, because the mean of its divisors is an integer number (73681920).

Almost surely, 2^8148410424 is an apocalyptic number.

8148410424 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 8148410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146928640).

8148410424 is an abundant number, since it is smaller than the sum of its proper divisors (20145446856).

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

8148410424 is a wasteful number, since it uses less digits than its factorization.

8148410424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8148410424 is about 90268.5461498079. The cubic root of 8148410424 is about 2012.2918359541.

The spelling of 8148410424 in words is "eight billion, one hundred forty-eight million, four hundred ten thousand, four hundred twenty-four".