186828572761601 has 2 divisors, whose sum is σ = 186828572761602. Its totient is φ = 186828572761600.

The previous prime is 186828572761573. The next prime is 186828572761661. The reversal of 186828572761601 is 106167275828681.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165704216938225 + 21124355823376 = 12872615^2 + 4596124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-186828572761601 is a prime.

It is not a weakly prime, because it can be changed into another prime (186828572761661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 93414286380800 + 93414286380801.

It is an arithmetic number, because the mean of its divisors is an integer number (93414286380801).

Almost surely, 2^{186828572761601} is an apocalyptic number.

It is an amenable number.

186828572761601 is a deficient number, since it is larger than the sum of its proper divisors (1).

186828572761601 is an equidigital number, since it uses as much as digits as its factorization.

186828572761601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108380160, while the sum is 68.

The spelling of 186828572761601 in words is "one hundred eighty-six trillion, eight hundred twenty-eight billion, five hundred seventy-two million, seven hundred sixty-one thousand, six hundred one".