10344134450241 has 36 divisors (see below), whose sum is σ = 16259267286444. Its totient is φ = 6332133888000.

The previous prime is 10344134450203. The next prime is 10344134450263. The reversal of 10344134450241 is 14205443144301.

It is a happy number.

10344134450241 is a `hidden beast` number, since 1 + 0 + 34 + 4 + 134 + 450 + 2 + 41 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 93027440016 + 10251107010225 = 305004^2 + 3201735^2 .

It is not a de Polignac number, because 10344134450241 - 2⁴³ = 1548041428033 is a prime.

It is a super-2 number, since 2×10344134450241² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10344134450196 and 10344134450205.

It is not an unprimeable number, because it can be changed into a prime (10344134450641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48393160 + ... + 48606441.

Almost surely, 2^{10344134450241} is an apocalyptic number.

It is an amenable number.

10344134450241 is a deficient number, since it is larger than the sum of its proper divisors (5915132836203).

10344134450241 is a wasteful number, since it uses less digits than its factorization.

10344134450241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96999682 (or 96999662 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10344134450241 its reverse (14205443144301), we get a palindrome (24549577594542).

The spelling of 10344134450241 in words is "ten trillion, three hundred forty-four billion, one hundred thirty-four million, four hundred fifty thousand, two hundred forty-one".