48643808832 has 168 divisors, whose sum is σ = 146246795136. Its totient is φ = 15440385024.

The previous prime is 48643808827. The next prime is 48643808861. The reversal of 48643808832 is 23880834684.

48643808832 is a `hidden beast` number, since 486 + 4 + 3 + 80 + 8 + 83 + 2 = 666.

It is a super-2 number, since 2×48643808832² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 977383 + ... + 1025945.

Almost surely, 2^48643808832 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 48643808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73123397568).

48643808832 is an abundant number, since it is smaller than the sum of its proper divisors (97602986304).

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

48643808832 is a wasteful number, since it uses less digits than its factorization.

48643808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48665 (or 48652 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48643808832 in words is "forty-eight billion, six hundred forty-three million, eight hundred eight thousand, eight hundred thirty-two".