33414321344321 has 2 divisors, whose sum is σ = 33414321344322. Its totient is φ = 33414321344320.

The previous prime is 33414321344309. The next prime is 33414321344353. The reversal of 33414321344321 is 12344312341433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33222670015921 + 191651328400 = 5763911^2 + 437780^2 .

It is a cyclic number.

It is not a de Polignac number, because 33414321344321 - 2²² = 33414317150017 is a prime.

It is a super-2 number, since 2×33414321344321² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33414321544321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16707160672160 + 16707160672161.

It is an arithmetic number, because the mean of its divisors is an integer number (16707160672161).

Almost surely, 2^{33414321344321} is an apocalyptic number.

It is an amenable number.

33414321344321 is a deficient number, since it is larger than the sum of its proper divisors (1).

33414321344321 is an equidigital number, since it uses as much as digits as its factorization.

33414321344321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 248832, while the sum is 38.

Adding to 33414321344321 its reverse (12344312341433), we get a palindrome (45758633685754).

The spelling of 33414321344321 in words is "thirty-three trillion, four hundred fourteen billion, three hundred twenty-one million, three hundred forty-four thousand, three hundred twenty-one".