8148901488 has 480 divisors, whose sum is σ = 28260691200. Its totient is φ = 2011516416.

The previous prime is 8148901483. The next prime is 8148901513. The reversal of 8148901488 is 8841098418.

It is a super-2 number, since 2×8148901488² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8148901488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8148901483) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 98179495 + ... + 98179577.

It is an arithmetic number, because the mean of its divisors is an integer number (58876440).

Almost surely, 2^8148901488 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 8148901488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130345600).

8148901488 is an abundant number, since it is smaller than the sum of its proper divisors (20111789712).

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

8148901488 is a wasteful number, since it uses less digits than its factorization.

8148901488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The square root of 8148901488 is about 90271.2661260492. The cubic root of 8148901488 is about 2012.3322587350.

The spelling of 8148901488 in words is "eight billion, one hundred forty-eight million, nine hundred one thousand, four hundred eighty-eight".