329148518417 has 2 divisors, whose sum is σ = 329148518418. Its totient is φ = 329148518416.

The previous prime is 329148518393. The next prime is 329148518441. The reversal of 329148518417 is 714815841923.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (329148518393) and next prime (329148518441).

It can be written as a sum of positive squares in only one way, i.e., 320230360321 + 8918158096 = 565889^2 + 94436^2 .

It is a cyclic number.

It is not a de Polignac number, because 329148518417 - 2²⁴ = 329131741201 is a prime.

It is a super-2 number, since 2×329148518417² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329148518717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164574259208 + 164574259209.

It is an arithmetic number, because the mean of its divisors is an integer number (164574259209).

Almost surely, 2^329148518417 is an apocalyptic number.

It is an amenable number.

329148518417 is a deficient number, since it is larger than the sum of its proper divisors (1).

329148518417 is an equidigital number, since it uses as much as digits as its factorization.

329148518417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1935360, while the sum is 53.

The spelling of 329148518417 in words is "three hundred twenty-nine billion, one hundred forty-eight million, five hundred eighteen thousand, four hundred seventeen".