48004448400832 has 112 divisors (see below), whose sum is σ = 118825211980800. Its totient is φ = 18693431884800.

The previous prime is 48004448400823. The next prime is 48004448400841. The reversal of 48004448400832 is 23800484440084.

It is an interprime number because it is at equal distance from previous prime (48004448400823) and next prime (48004448400841).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7105657 + ... + 12103687.

Almost surely, 2^{48004448400832} 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 48004448400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59412605990400).

48004448400832 is an abundant number, since it is smaller than the sum of its proper divisors (70820763579968).

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

48004448400832 is a wasteful number, since it uses less digits than its factorization.

48004448400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000010 (or 5000000 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 49.

The spelling of 48004448400832 in words is "forty-eight trillion, four billion, four hundred forty-eight million, four hundred thousand, eight hundred thirty-two".