48091706208 has 1152 divisors, whose sum is σ = 190060416000. Its totient is φ = 11851370496.

The previous prime is 48091706183. The next prime is 48091706209. The reversal of 48091706208 is 80260719084.

48091706208 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 17 + 0 + 620 + 8 = 666.

48091706208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48091706208³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48091706209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 658790460 + ... + 658790532.

It is an arithmetic number, because the mean of its divisors is an integer number (164983000).

Almost surely, 2^48091706208 is an apocalyptic number.

48091706208 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 48091706208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95030208000).

48091706208 is an abundant number, since it is smaller than the sum of its proper divisors (141968709792).

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

48091706208 is a wasteful number, since it uses less digits than its factorization.

48091706208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 48091706208 in words is "forty-eight billion, ninety-one million, seven hundred six thousand, two hundred eight".