32454382801 has 9 divisors (see below), whose sum is σ = 33168246811. Its totient is φ = 31755577072.

The previous prime is 32454382789. The next prime is 32454382817. The reversal of 32454382801 is 10828345423.

The square root of 32454382801 is 180151.

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

It can be written as a sum of positive squares in only one way, i.e., 7038371025 + 25416011776 = 83895^2 + 159424^2 .

It is not a de Polignac number, because 32454382801 - 2⁵ = 32454382769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32454382841) 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 8 ways as a sum of consecutive naturals, for example, 8465181 + ... + 8469013.

Almost surely, 2^32454382801 is an apocalyptic number.

32454382801 is the 180151-st square number.

32454382801 is the 90076-th centered octagonal number.

It is an amenable number.

32454382801 is a deficient number, since it is larger than the sum of its proper divisors (713864010).

32454382801 is an frugal number, since it uses more digits than its factorization.

32454382801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 32454382801 in words is "thirty-two billion, four hundred fifty-four million, three hundred eighty-two thousand, eight hundred one".