48800144933568 has 336 divisors, whose sum is σ = 161749391918400. Its totient is φ = 13778987507712.

The previous prime is 48800144933563. The next prime is 48800144933633. The reversal of 48800144933568 is 86533944100884.

48800144933568 is a `hidden beast` number, since 4 + 8 + 80 + 0 + 1 + 4 + 493 + 3 + 5 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48800144933563) 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 47 ways as a sum of consecutive naturals, for example, 118145130 + ... + 118557462.

Almost surely, 2^{48800144933568} is an apocalyptic number.

48800144933568 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 48800144933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80874695959200).

48800144933568 is an abundant number, since it is smaller than the sum of its proper divisors (112949246984832).

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

48800144933568 is a wasteful number, since it uses less digits than its factorization.

48800144933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412704 (or 412691 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 48800144933568 in words is "forty-eight trillion, eight hundred billion, one hundred forty-four million, nine hundred thirty-three thousand, five hundred sixty-eight".