32548405624641 has 27 divisors (see below), whose sum is σ = 47084952424419. Its totient is φ = 21666406483152.

The previous prime is 32548405624621. The next prime is 32548405624663. The reversal of 32548405624641 is 14642650484523.

The square root of 32548405624641 is 5705121.

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

32548405624641 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 8 + 4 + 0 + 5 + 624 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30754466840241 + 1793938784400 = 5545671^2 + 1339380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32548405624641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32548405624621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18193629975 + ... + 18193631763.

Almost surely, 2^{32548405624641} is an apocalyptic number.

32548405624641 is the 5705121-st square number.

32548405624641 is the 2852561-st centered octagonal number.

It is an amenable number.

32548405624641 is a deficient number, since it is larger than the sum of its proper divisors (14536546799778).

32548405624641 is an frugal number, since it uses more digits than its factorization.

32548405624641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 32548405624641 in words is "thirty-two trillion, five hundred forty-eight billion, four hundred five million, six hundred twenty-four thousand, six hundred forty-one".