201432766401 has 12 divisors (see below), whose sum is σ = 291154920420. Its totient is φ = 134197827840.

The previous prime is 201432766399. The next prime is 201432766421. The reversal of 201432766401 is 104667234102.

201432766401 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 2 + 7 + 6 + 640 + 1 = 666.

201432766401 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 2 ways, for example, as 164231615025 + 37201151376 = 405255^2 + 192876^2 .

It is not a de Polignac number, because 201432766401 - 2¹ = 201432766399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201432766421) 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 11 ways as a sum of consecutive naturals, for example, 7542856 + ... + 7569513.

It is an arithmetic number, because the mean of its divisors is an integer number (24262910035).

Almost surely, 2^201432766401 is an apocalyptic number.

It is an amenable number.

201432766401 is a deficient number, since it is larger than the sum of its proper divisors (89722154019).

201432766401 is a wasteful number, since it uses less digits than its factorization.

201432766401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15113856 (or 15113853 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 201432766401 in words is "two hundred one billion, four hundred thirty-two million, seven hundred sixty-six thousand, four hundred one".