193550672238001 has 45 divisors (see below), whose sum is σ = 211273065461549. Its totient is φ = 177314395954800.

The previous prime is 193550672237963. The next prime is 193550672238041. The reversal of 193550672238001 is 100832276055391.

The square root of 193550672238001 is 13912249.

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

It can be written as a sum of positive squares in 2 ways, for example, as 95965514847601 + 97585157390400 = 9796199^2 + 9878520^2 .

It is not a de Polignac number, because 193550672238001 - 2¹¹ = 193550672235953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 193550672238001.

It is not an unprimeable number, because it can be changed into a prime (193550672238041) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 449073485256 + ... + 449073485686.

Almost surely, 2^{193550672238001} is an apocalyptic number.

193550672238001 is the 13912249-th square number.

193550672238001 is the 6956125-th centered octagonal number.

It is an amenable number.

193550672238001 is a deficient number, since it is larger than the sum of its proper divisors (17722393223548).

193550672238001 is an frugal number, since it uses more digits than its factorization.

193550672238001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 193550672238001 in words is "one hundred ninety-three trillion, five hundred fifty billion, six hundred seventy-two million, two hundred thirty-eight thousand, one".