33786271636081 has 2 divisors, whose sum is σ = 33786271636082. Its totient is φ = 33786271636080.

The previous prime is 33786271636079. The next prime is 33786271636121. The reversal of 33786271636081 is 18063617268733.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32988481473600 + 797790162481 = 5743560^2 + 893191^2 .

It is a cyclic number.

It is not a de Polignac number, because 33786271636081 - 2¹ = 33786271636079 is a prime.

It is a super-2 number, since 2×33786271636081² (a number of 28 digits) contains 22 as substring.

Together with 33786271636079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33786271136081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16893135818040 + 16893135818041.

It is an arithmetic number, because the mean of its divisors is an integer number (16893135818041).

Almost surely, 2^{33786271636081} is an apocalyptic number.

It is an amenable number.

33786271636081 is a deficient number, since it is larger than the sum of its proper divisors (1).

33786271636081 is an equidigital number, since it uses as much as digits as its factorization.

33786271636081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 33786271636081 in words is "thirty-three trillion, seven hundred eighty-six billion, two hundred seventy-one million, six hundred thirty-six thousand, eighty-one".