10344410110729 has 2 divisors, whose sum is σ = 10344410110730. Its totient is φ = 10344410110728.

The previous prime is 10344410110583. The next prime is 10344410110813. The reversal of 10344410110729 is 92701101444301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5317612940025 + 5026797170704 = 2305995^2 + 2242052^2 .

It is a cyclic number.

It is not a de Polignac number, because 10344410110729 - 2⁹ = 10344410110217 is a prime.

It is a super-2 number, since 2×10344410110729² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10344410810729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5172205055364 + 5172205055365.

It is an arithmetic number, because the mean of its divisors is an integer number (5172205055365).

Almost surely, 2^{10344410110729} is an apocalyptic number.

It is an amenable number.

10344410110729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344410110729 is an equidigital number, since it uses as much as digits as its factorization.

10344410110729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 10344410110729 in words is "ten trillion, three hundred forty-four billion, four hundred ten million, one hundred ten thousand, seven hundred twenty-nine".