48456321984 has 896 divisors, whose sum is σ = 182587392000. Its totient is φ = 12284338176.

The previous prime is 48456321973. The next prime is 48456321989. The reversal of 48456321984 is 48912365484.

48456321984 is a `hidden beast` number, since 484 + 5 + 63 + 21 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48456321984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48456321989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 470449677 + ... + 470449779.

Almost surely, 2^48456321984 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 48456321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91293696000).

48456321984 is an abundant number, since it is smaller than the sum of its proper divisors (134131070016).

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

48456321984 is a wasteful number, since it uses less digits than its factorization.

48456321984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 48456321984 in words is "forty-eight billion, four hundred fifty-six million, three hundred twenty-one thousand, nine hundred eighty-four".