8468148000 has 384 divisors, whose sum is σ = 31459034880. Its totient is φ = 1974067200.

The previous prime is 8468147983. The next prime is 8468148049. The reversal of 8468148000 is 8418648.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8468148000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2962572 + ... + 2965428.

It is an arithmetic number, because the mean of its divisors is an integer number (81924570).

Almost surely, 2^8468148000 is an apocalyptic number.

8468148000 is a gapful number since it is divisible by the number (80) 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 8468148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729517440).

8468148000 is an abundant number, since it is smaller than the sum of its proper divisors (22990886880).

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

8468148000 is a wasteful number, since it uses less digits than its factorization.

8468148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 8468148000 is about 92022.5407169352. The cubic root of 8468148000 is about 2038.2751664280.

The spelling of 8468148000 in words is "eight billion, four hundred sixty-eight million, one hundred forty-eight thousand".