83609148672001 has 2 divisors, whose sum is σ = 83609148672002. Its totient is φ = 83609148672000.

The previous prime is 83609148671891. The next prime is 83609148672013. The reversal of 83609148672001 is 10027684190638.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44974781592976 + 38634367079025 = 6706324^2 + 6215655^2 .

It is a cyclic number.

It is not a de Polignac number, because 83609148672001 - 2¹¹ = 83609148669953 is a prime.

It is not a weakly prime, because it can be changed into another prime (83609148672601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41804574336000 + 41804574336001.

It is an arithmetic number, because the mean of its divisors is an integer number (41804574336001).

Almost surely, 2^{83609148672001} is an apocalyptic number.

It is an amenable number.

83609148672001 is a deficient number, since it is larger than the sum of its proper divisors (1).

83609148672001 is an equidigital number, since it uses as much as digits as its factorization.

83609148672001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 83609148672001 in words is "eighty-three trillion, six hundred nine billion, one hundred forty-eight million, six hundred seventy-two thousand, one".