164404503114557 has 2 divisors, whose sum is σ = 164404503114558. Its totient is φ = 164404503114556.

The previous prime is 164404503114529. The next prime is 164404503114569. The reversal of 164404503114557 is 755411305404461.

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., 150676336950841 + 13728166163716 = 12275029^2 + 3705154^2 .

It is a cyclic number.

It is not a de Polignac number, because 164404503114557 - 2¹⁰ = 164404503113533 is a prime.

It is a super-3 number, since 3×164404503114557³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164404503114757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202251557278 + 82202251557279.

It is an arithmetic number, because the mean of its divisors is an integer number (82202251557279).

Almost surely, 2^{164404503114557} is an apocalyptic number.

It is an amenable number.

164404503114557 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404503114557 is an equidigital number, since it uses as much as digits as its factorization.

164404503114557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032000, while the sum is 50.

The spelling of 164404503114557 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred three million, one hundred fourteen thousand, five hundred fifty-seven".