35346823538401 has 2 divisors, whose sum is σ = 35346823538402. Its totient is φ = 35346823538400.

The previous prime is 35346823538393. The next prime is 35346823538417. The reversal of 35346823538401 is 10483532864353.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35316634128400 + 30189410001 = 5942780^2 + 173751^2 .

It is a cyclic number.

It is not a de Polignac number, because 35346823538401 - 2³ = 35346823538393 is a prime.

It is not a weakly prime, because it can be changed into another prime (35346523538401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17673411769200 + 17673411769201.

It is an arithmetic number, because the mean of its divisors is an integer number (17673411769201).

Almost surely, 2^{35346823538401} is an apocalyptic number.

It is an amenable number.

35346823538401 is a deficient number, since it is larger than the sum of its proper divisors (1).

35346823538401 is an equidigital number, since it uses as much as digits as its factorization.

35346823538401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24883200, while the sum is 55.

The spelling of 35346823538401 in words is "thirty-five trillion, three hundred forty-six billion, eight hundred twenty-three million, five hundred thirty-eight thousand, four hundred one".