201645004401 has 45 divisors (see below), whose sum is σ = 303337449129. Its totient is φ = 129078236952.

The previous prime is 201645004343. The next prime is 201645004403. The reversal of 201645004401 is 104400546102.

The square root of 201645004401 is 449049.

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

201645004401 is a `hidden beast` number, since 201 + 6 + 4 + 50 + 0 + 4 + 401 = 666.

It is not a de Polignac number, because 201645004401 - 2⁷ = 201645004273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201645004403) 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 44 ways as a sum of consecutive naturals, for example, 3417711910 + ... + 3417711968.

Almost surely, 2^201645004401 is an apocalyptic number.

201645004401 is the 449049-th square number.

201645004401 is the 224525-th centered octagonal number.

It is an amenable number.

201645004401 is a deficient number, since it is larger than the sum of its proper divisors (101692444728).

201645004401 is an frugal number, since it uses more digits than its factorization.

201645004401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 201645004401 in words is "two hundred one billion, six hundred forty-five million, four thousand, four hundred one".