48105208008 has 192 divisors, whose sum is σ = 156320236800. Its totient is φ = 13169571840.

The previous prime is 48105207973. The next prime is 48105208027. The reversal of 48105208008 is 80080250184.

48105208008 is a `hidden beast` number, since 48 + 10 + 520 + 80 + 0 + 8 = 666.

It is a super-3 number, since 3×48105208008³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434208 + ... + 533616.

It is an arithmetic number, because the mean of its divisors is an integer number (814167900).

Almost surely, 2^48105208008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48105208008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78160118400).

48105208008 is an abundant number, since it is smaller than the sum of its proper divisors (108215028792).

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

48105208008 is a wasteful number, since it uses less digits than its factorization.

48105208008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99492 (or 99485 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 48105208008 in words is "forty-eight billion, one hundred five million, two hundred eight thousand, eight".