66201146361 has 24 divisors (see below), whose sum is σ = 109329130560. Its totient is φ = 37813754016.

The previous prime is 66201146339. The next prime is 66201146393. The reversal of 66201146361 is 16364110266.

It is a happy number.

66201146361 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 1 + 14 + 636 + 1 = 666.

It is not a de Polignac number, because 66201146361 - 2⁷ = 66201146233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66201146461) 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 23 ways as a sum of consecutive naturals, for example, 58750 + ... + 368583.

It is an arithmetic number, because the mean of its divisors is an integer number (4555380440).

Almost surely, 2^66201146361 is an apocalyptic number.

It is an amenable number.

66201146361 is a deficient number, since it is larger than the sum of its proper divisors (43127984199).

66201146361 is a wasteful number, since it uses less digits than its factorization.

66201146361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429805 (or 429802 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 66201146361 in words is "sixty-six billion, two hundred one million, one hundred forty-six thousand, three hundred sixty-one".