66383007201 has 27 divisors (see below), whose sum is σ = 111550607571. Its totient is φ = 37930055184.

The previous prime is 66383007193. The next prime is 66383007221. The reversal of 66383007201 is 10270038366.

It is a happy number.

The square root of 66383007201 is 257649.

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., 62775803601 + 3607203600 = 250551^2 + 60060^2 .

It is not a de Polignac number, because 66383007201 - 2³ = 66383007193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66383007221) 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, 5404495 + ... + 5416763.

Almost surely, 2^66383007201 is an apocalyptic number.

66383007201 is the 257649-th square number.

66383007201 is the 128825-th centered octagonal number.

It is an amenable number.

66383007201 is a deficient number, since it is larger than the sum of its proper divisors (45167600370).

66383007201 is an frugal number, since it uses more digits than its factorization.

66383007201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24558 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 66383007201 by its sum of digits (36), we get a square (2389788259236 = 1545894²).

The spelling of 66383007201 in words is "sixty-six billion, three hundred eighty-three million, seven thousand, two hundred one".