48881824992 has 432 divisors, whose sum is σ = 187679576448. Its totient is φ = 11719019520.

The previous prime is 48881824991. The next prime is 48881825009. The reversal of 48881824992 is 29942818884.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48881824991) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3741223 + ... + 3754265.

It is an arithmetic number, because the mean of its divisors is an integer number (434443464).

Almost surely, 2^48881824992 is an apocalyptic number.

48881824992 is a gapful number since it is divisible by the number (42) 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 48881824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93839788224).

48881824992 is an abundant number, since it is smaller than the sum of its proper divisors (138797751456).

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

48881824992 is a wasteful number, since it uses less digits than its factorization.

48881824992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13103 (or 13079 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 48881824992 in words is "forty-eight billion, eight hundred eighty-one million, eight hundred twenty-four thousand, nine hundred ninety-two".