48532333323584 has 336 divisors, whose sum is σ = 111323532902400. Its totient is φ = 20808924702720.

The previous prime is 48532333323581. The next prime is 48532333323701.

48532333323584 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48532333323581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20230233617 + ... + 20230236015.

It is an arithmetic number, because the mean of its divisors is an integer number (331320038400).

Almost surely, 2^{48532333323584} is an apocalyptic number.

48532333323584 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 48532333323584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55661766451200).

48532333323584 is an abundant number, since it is smaller than the sum of its proper divisors (62791199578816).

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

48532333323584 is a wasteful number, since it uses less digits than its factorization.

48532333323584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3215 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 48532333323584 in words is "forty-eight trillion, five hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, five hundred eighty-four".