34414133224481 has 2 divisors, whose sum is σ = 34414133224482. Its totient is φ = 34414133224480.

The previous prime is 34414133224417. The next prime is 34414133224489. The reversal of 34414133224481 is 18442233141443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32486523093025 + 1927610131456 = 5699695^2 + 1388384^2 .

It is a cyclic number.

It is not a de Polignac number, because 34414133224481 - 2⁶ = 34414133224417 is a prime.

It is a super-3 number, since 3×34414133224481³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (34414133224489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17207066612240 + 17207066612241.

It is an arithmetic number, because the mean of its divisors is an integer number (17207066612241).

Almost surely, 2^{34414133224481} is an apocalyptic number.

It is an amenable number.

34414133224481 is a deficient number, since it is larger than the sum of its proper divisors (1).

34414133224481 is an equidigital number, since it uses as much as digits as its factorization.

34414133224481 is an evil number, because the sum of its binary digits is even.

The product of its digits is 884736, while the sum is 44.

The spelling of 34414133224481 in words is "thirty-four trillion, four hundred fourteen billion, one hundred thirty-three million, two hundred twenty-four thousand, four hundred eighty-one".