48581439984 has 300 divisors, whose sum is σ = 176636510512. Its totient is φ = 12618270720.

The previous prime is 48581439953. The next prime is 48581440003. The reversal of 48581439984 is 48993418584.

48581439984 is a `hidden beast` number, since 4 + 8 + 581 + 43 + 9 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1075584 + ... + 1119840.

Almost surely, 2^48581439984 is an apocalyptic number.

48581439984 is a gapful number since it is divisible by the number (44) 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 48581439984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88318255256).

48581439984 is an abundant number, since it is smaller than the sum of its proper divisors (128055070528).

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

48581439984 is a wasteful number, since it uses less digits than its factorization.

48581439984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44306 (or 44280 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 48581439984 in words is "forty-eight billion, five hundred eighty-one million, four hundred thirty-nine thousand, nine hundred eighty-four".