147009561098417 has 2 divisors, whose sum is σ = 147009561098418. Its totient is φ = 147009561098416.

The previous prime is 147009561098363. The next prime is 147009561098419. The reversal of 147009561098417 is 714890165900741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138400260324496 + 8609300773921 = 11764364^2 + 2934161^2 .

It is a cyclic number.

It is not a de Polignac number, because 147009561098417 - 2⁸ = 147009561098161 is a prime.

It is a super-2 number, since 2×147009561098417² (a number of 29 digits) contains 22 as substring.

Together with 147009561098419, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 147009561098417.

It is not a weakly prime, because it can be changed into another prime (147009561098419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73504780549208 + 73504780549209.

It is an arithmetic number, because the mean of its divisors is an integer number (73504780549209).

Almost surely, 2^{147009561098417} is an apocalyptic number.

It is an amenable number.

147009561098417 is a deficient number, since it is larger than the sum of its proper divisors (1).

147009561098417 is an equidigital number, since it uses as much as digits as its factorization.

147009561098417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 62.

The spelling of 147009561098417 in words is "one hundred forty-seven trillion, nine billion, five hundred sixty-one million, ninety-eight thousand, four hundred seventeen".