13931981758249 has 9 divisors (see below), whose sum is σ = 13957038546213. Its totient is φ = 13906969893792.

The previous prime is 13931981758243. The next prime is 13931981758283. The reversal of 13931981758249 is 94285718913931.

The square root of 13931981758249 is 3732557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10107344432025 + 3824637326224 = 3179205^2 + 1955668^2 .

It is not a de Polignac number, because 13931981758249 - 2²¹ = 13931979661097 is a prime.

It is a super-5 number, since 5×13931981758249⁵ (a number of 67 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13931981758243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2288054397 + ... + 2288060485.

Almost surely, 2^{13931981758249} is an apocalyptic number.

13931981758249 is the 3732557-th square number.

13931981758249 is the 1866279-th centered octagonal number.

It is an amenable number.

13931981758249 is a deficient number, since it is larger than the sum of its proper divisors (25056787964).

13931981758249 is an frugal number, since it uses more digits than its factorization.

13931981758249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 6702 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 70.

The spelling of 13931981758249 in words is "thirteen trillion, nine hundred thirty-one billion, nine hundred eighty-one million, seven hundred fifty-eight thousand, two hundred forty-nine".