48290869404960 has 768 divisors, whose sum is σ = 191457345945600. Its totient is φ = 10166628003840.

The previous prime is 48290869404931. The next prime is 48290869404977. The reversal of 48290869404960 is 6940496809284.

48290869404960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 990943795 + ... + 990992525.

It is an arithmetic number, because the mean of its divisors is an integer number (249293419200).

Almost surely, 2^{48290869404960} is an apocalyptic number.

48290869404960 is a gapful number since it is divisible by the number (40) 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 48290869404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95728672972800).

48290869404960 is an abundant number, since it is smaller than the sum of its proper divisors (143166476540640).

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

48290869404960 is a wasteful number, since it uses less digits than its factorization.

48290869404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49246 (or 49224 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 48290869404960 in words is "forty-eight trillion, two hundred ninety billion, eight hundred sixty-nine million, four hundred four thousand, nine hundred sixty".