48468564480 has 640 divisors, whose sum is σ = 185039585280. Its totient is φ = 10590289920.

The previous prime is 48468564479. The next prime is 48468564481. The reversal of 48468564480 is 8446586484.

It is an interprime number because it is at equal distance from previous prime (48468564479) and next prime (48468564481).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 48468564480.

It is not an unprimeable number, because it can be changed into a prime (48468564481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211653006 + ... + 211653234.

It is an arithmetic number, because the mean of its divisors is an integer number (289124352).

Almost surely, 2^48468564480 is an apocalyptic number.

48468564480 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 48468564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92519792640).

48468564480 is an abundant number, since it is smaller than the sum of its proper divisors (136571020800).

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

48468564480 is a wasteful number, since it uses less digits than its factorization.

48468564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 48468564480 in words is "forty-eight billion, four hundred sixty-eight million, five hundred sixty-four thousand, four hundred eighty".