147018438013441 has 2 divisors, whose sum is σ = 147018438013442. Its totient is φ = 147018438013440.

The previous prime is 147018438013331. The next prime is 147018438013481. The reversal of 147018438013441 is 144310834810741.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100140849561600 + 46877588451841 = 10007040^2 + 6846721^2 .

It is a cyclic number.

It is not a de Polignac number, because 147018438013441 - 2²⁵ = 147018404459009 is a prime.

It is a super-2 number, since 2×147018438013441² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (147018438013481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73509219006720 + 73509219006721.

It is an arithmetic number, because the mean of its divisors is an integer number (73509219006721).

Almost surely, 2^{147018438013441} is an apocalyptic number.

It is an amenable number.

147018438013441 is a deficient number, since it is larger than the sum of its proper divisors (1).

147018438013441 is an equidigital number, since it uses as much as digits as its factorization.

147018438013441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 147018438013441 in words is "one hundred forty-seven trillion, eighteen billion, four hundred thirty-eight million, thirteen thousand, four hundred forty-one".