32048530207344 has 320 divisors, whose sum is σ = 108143708359680. Its totient is φ = 8898095047680.

The previous prime is 32048530207339. The next prime is 32048530207373. The reversal of 32048530207344 is 44370203584023.

32048530207344 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 8 + 530 + 2 + 0 + 73 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32048530207344.

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 63 ways as a sum of consecutive naturals, for example, 14263894 + ... + 16357130.

It is an arithmetic number, because the mean of its divisors is an integer number (337949088624).

Almost surely, 2^{32048530207344} 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 32048530207344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54071854179840).

32048530207344 is an abundant number, since it is smaller than the sum of its proper divisors (76095178152336).

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

32048530207344 is a wasteful number, since it uses less digits than its factorization.

32048530207344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093405 (or 2093393 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 32048530207344 in words is "thirty-two trillion, forty-eight billion, five hundred thirty million, two hundred seven thousand, three hundred forty-four".