201384452618001 has 27 divisors (see below), whose sum is σ = 291179997842097. Its totient is φ = 134121969748800.

The previous prime is 201384452617979. The next prime is 201384452618009. The reversal of 201384452618001 is 100816254483102.

The square root of 201384452618001 is 14190999.

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

201384452618001 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 8 + 44 + 526 + 1 + 80 + 0 + 1 = 666.

201384452618001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 428992250625 + 200955460367376 = 654975^2 + 14175876^2 .

It is not a de Polignac number, because 201384452618001 - 2²⁷ = 201384318400273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201384452618009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61007103051 + ... + 61007106351.

Almost surely, 2^{201384452618001} is an apocalyptic number.

201384452618001 is the 14190999-th square number.

201384452618001 is the 7095500-th centered octagonal number.

It is an amenable number.

201384452618001 is a deficient number, since it is larger than the sum of its proper divisors (89795545224096).

201384452618001 is an frugal number, since it uses more digits than its factorization.

201384452618001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 201384452618001 in words is "two hundred one trillion, three hundred eighty-four billion, four hundred fifty-two million, six hundred eighteen thousand, one".