48642052608 has 350 divisors, whose sum is σ = 153812318979. Its totient is φ = 15360648192.

The previous prime is 48642052603. The next prime is 48642052709. The reversal of 48642052608 is 80625024684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48642052608 is a `hidden beast` number, since 4 + 86 + 42 + 0 + 526 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24321026304 + 24321026304 = 155952^2 + 155952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=155952.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 48642052608 = 456³ + 3648³ = 2052³ + 3420³.

It is not an unprimeable number, because it can be changed into a prime (48642052603) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 2560108023 + ... + 2560108041.

Almost surely, 2^48642052608 is an apocalyptic number.

48642052608 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 48642052608

48642052608 is an abundant number, since it is smaller than the sum of its proper divisors (105170266371).

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

48642052608 is an frugal number, since it uses more digits than its factorization.

48642052608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 48642052608 in words is "forty-eight billion, six hundred forty-two million, fifty-two thousand, six hundred eight".