10344630718249 has 9 divisors (see below), whose sum is σ = 10488517240023. Its totient is φ = 10202691874032.

The previous prime is 10344630718223. The next prime is 10344630718283. The reversal of 10344630718249 is 94281703644301.

It is a happy number.

The square root of 10344630718249 is 3216307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5872116330025 + 4472514388224 = 2423245^2 + 2114832^2 .

It is not a de Polignac number, because 10344630718249 - 2¹¹ = 10344630716201 is a prime.

It is a super-2 number, since 2×10344630718249² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10344630718196 and 10344630718205.

It is not an unprimeable number, because it can be changed into a prime (10344630718549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234768382 + ... + 234812440.

It is an arithmetic number, because the mean of its divisors is an integer number (1165390804447).

Almost surely, 2^{10344630718249} is an apocalyptic number.

10344630718249 is the 3216307-th square number.

10344630718249 is the 1608154-th centered octagonal number.

It is an amenable number.

10344630718249 is a deficient number, since it is larger than the sum of its proper divisors (143886521774).

10344630718249 is an frugal number, since it uses more digits than its factorization.

10344630718249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88264 (or 44132 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 10344630718249 in words is "ten trillion, three hundred forty-four billion, six hundred thirty million, seven hundred eighteen thousand, two hundred forty-nine".