48240105696 has 72 divisors (see below), whose sum is σ = 137256078960. Its totient is φ = 16071446016.

The previous prime is 48240105679. The next prime is 48240105731. The reversal of 48240105696 is 69650104284.

48240105696 is a `hidden beast` number, since 4 + 82 + 4 + 0 + 1 + 0 + 569 + 6 = 666.

48240105696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×48240105696² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507165 + ... + 594723.

It is an arithmetic number, because the mean of its divisors is an integer number (1906334430).

Almost surely, 2^48240105696 is an apocalyptic number.

It is an amenable number.

48240105696 is an abundant number, since it is smaller than the sum of its proper divisors (89015973264).

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

48240105696 is a wasteful number, since it uses less digits than its factorization.

48240105696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89488 (or 89477 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48240105696 in words is "forty-eight billion, two hundred forty million, one hundred five thousand, six hundred ninety-six".