75188859664801 has 3 divisors (see below), whose sum is σ = 75188868335953. Its totient is φ = 75188850993650.

The previous prime is 75188859664781. The next prime is 75188859664819. The reversal of 75188859664801 is 10846695888157.

The square root of 75188859664801 is 8671151.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 75188859664801 - 2⁵ = 75188859664769 is a prime.

It is a super-3 number, since 3×75188859664801³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75188859664901) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 4335576 + ... + 13006726.

Almost surely, 2^{75188859664801} is an apocalyptic number.

75188859664801 is the 8671151-st square number.

75188859664801 is the 4335576-th centered octagonal number.

It is an amenable number.

75188859664801 is a deficient number, since it is larger than the sum of its proper divisors (8671152).

75188859664801 is an frugal number, since it uses more digits than its factorization.

75188859664801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17342302 (or 8671151 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 76.

The spelling of 75188859664801 in words is "seventy-five trillion, one hundred eighty-eight billion, eight hundred fifty-nine million, six hundred sixty-four thousand, eight hundred one".