33890548689629 has 2 divisors, whose sum is σ = 33890548689630. Its totient is φ = 33890548689628.

The previous prime is 33890548689589. The next prime is 33890548689631. The reversal of 33890548689629 is 92698684509833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30280510689529 + 3610038000100 = 5502773^2 + 1900010^2 .

It is an emirp because it is prime and its reverse (92698684509833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33890548689629 - 2⁸ = 33890548689373 is a prime.

It is a super-2 number, since 2×33890548689629² (a number of 28 digits) contains 22 as substring.

Together with 33890548689631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33890548680629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16945274344814 + 16945274344815.

It is an arithmetic number, because the mean of its divisors is an integer number (16945274344815).

Almost surely, 2^{33890548689629} is an apocalyptic number.

It is an amenable number.

33890548689629 is a deficient number, since it is larger than the sum of its proper divisors (1).

33890548689629 is an equidigital number, since it uses as much as digits as its factorization.

33890548689629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4837294080, while the sum is 80.

The spelling of 33890548689629 in words is "thirty-three trillion, eight hundred ninety billion, five hundred forty-eight million, six hundred eighty-nine thousand, six hundred twenty-nine".