48660481056768 has 224 divisors, whose sum is σ = 148307375394816. Its totient is φ = 13901324156928.

The previous prime is 48660481056751. The next prime is 48660481056779. The reversal of 48660481056768 is 86765018406684.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505292305 + ... + 2505311727.

Almost surely, 2^{48660481056768} is an apocalyptic number.

48660481056768 is a gapful number since it is divisible by the number (48) 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 48660481056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74153687697408).

48660481056768 is an abundant number, since it is smaller than the sum of its proper divisors (99646894338048).

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

48660481056768 is a wasteful number, since it uses less digits than its factorization.

48660481056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34022 (or 33998 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 48660481056768 in words is "forty-eight trillion, six hundred sixty billion, four hundred eighty-one million, fifty-six thousand, seven hundred sixty-eight".