48008163840 has 640 divisors, whose sum is σ = 191684731392. Its totient is φ = 9979822080.

The previous prime is 48008163821. The next prime is 48008163893. The reversal of 48008163840 is 4836180084.

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

It is a super-4 number, since 4×48008163840⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48008163792 and 48008163801.

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 63 ways as a sum of consecutive naturals, for example, 51017770 + ... + 51018710.

Almost surely, 2^48008163840 is an apocalyptic number.

48008163840 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 48008163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95842365696).

48008163840 is an abundant number, since it is smaller than the sum of its proper divisors (143676567552).

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

48008163840 is a wasteful number, since it uses less digits than its factorization.

48008163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 48008163840 in words is "forty-eight billion, eight million, one hundred sixty-three thousand, eight hundred forty".