8148869688960 has 4608 divisors, whose sum is σ = 41182989926400. Its totient is φ = 1503542476800.

The previous prime is 8148869688941. The next prime is 8148869688961. The reversal of 8148869688960 is 698869688418.

It is a self number, because there is not a number n which added to its sum of digits gives 8148869688960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8148869688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 48795626797 + ... + 48795626963.

It is an arithmetic number, because the mean of its divisors is an integer number (8937280800).

Almost surely, 2^{8148869688960} is an apocalyptic number.

8148869688960 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 8148869688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591494963200).

8148869688960 is an abundant number, since it is smaller than the sum of its proper divisors (33034120237440).

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

8148869688960 is a wasteful number, since it uses less digits than its factorization.

8148869688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 81.

The spelling of 8148869688960 in words is "eight trillion, one hundred forty-eight billion, eight hundred sixty-nine million, six hundred eighty-eight thousand, nine hundred sixty".