32648153344 has 81 divisors (see below), whose sum is σ = 68264423059. Its totient is φ = 15582533120.

The previous prime is 32648153323. The next prime is 32648153371. The reversal of 32648153344 is 44335184623.

The square root of 32648153344 is 180688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32648153344.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 66492939 + ... + 66493429.

Almost surely, 2^32648153344 is an apocalyptic number.

32648153344 is the 180688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32648153344

32648153344 is an abundant number, since it is smaller than the sum of its proper divisors (35616269715).

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

32648153344 is an frugal number, since it uses more digits than its factorization.

32648153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 516 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The spelling of 32648153344 in words is "thirty-two billion, six hundred forty-eight million, one hundred fifty-three thousand, three hundred forty-four".