33636440445121 has 2 divisors, whose sum is σ = 33636440445122. Its totient is φ = 33636440445120.

The previous prime is 33636440445079. The next prime is 33636440445151. The reversal of 33636440445121 is 12154404463633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24402809606400 + 9233630838721 = 4939920^2 + 3038689^2 .

It is a cyclic number.

It is not a de Polignac number, because 33636440445121 - 2¹⁷ = 33636440314049 is a prime.

It is a super-2 number, since 2×33636440445121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33636440445151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16818220222560 + 16818220222561.

It is an arithmetic number, because the mean of its divisors is an integer number (16818220222561).

Almost surely, 2^{33636440445121} is an apocalyptic number.

It is an amenable number.

33636440445121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33636440445121 is an equidigital number, since it uses as much as digits as its factorization.

33636440445121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 33636440445121 in words is "thirty-three trillion, six hundred thirty-six billion, four hundred forty million, four hundred forty-five thousand, one hundred twenty-one".