349441287680557 has 2 divisors, whose sum is σ = 349441287680558. Its totient is φ = 349441287680556.

The previous prime is 349441287680489. The next prime is 349441287680599. The reversal of 349441287680557 is 755086782144943.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308926356842601 + 40514930837956 = 17576301^2 + 6365134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-349441287680557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 349441287680557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349441287680857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174720643840278 + 174720643840279.

It is an arithmetic number, because the mean of its divisors is an integer number (174720643840279).

It is a 1-persistent number, because it is pandigital, but 2⋅349441287680557 = 698882575361114 is not.

Almost surely, 2^{349441287680557} is an apocalyptic number.

It is an amenable number.

349441287680557 is a deficient number, since it is larger than the sum of its proper divisors (1).

349441287680557 is an equidigital number, since it uses as much as digits as its factorization.

349441287680557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1625702400, while the sum is 73.

The spelling of 349441287680557 in words is "three hundred forty-nine trillion, four hundred forty-one billion, two hundred eighty-seven million, six hundred eighty thousand, five hundred fifty-seven".