13851370958049 has 15 divisors (see below), whose sum is σ = 20691604184097. Its totient is φ = 9234224974908.

The previous prime is 13851370958021. The next prime is 13851370958063. The reversal of 13851370958049 is 94085907315831.

The square root of 13851370958049 is 3721743.

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

13851370958049 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 1 + 3 + 7 + 0 + 9 + 580 + 49 = 666.

It is not a de Polignac number, because 13851370958049 - 2⁵ = 13851370958017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13851370958449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33288924 + ... + 33702450.

Almost surely, 2^{13851370958049} is an apocalyptic number.

13851370958049 is the 3721743-rd square number.

13851370958049 is the 1860872-nd centered octagonal number.

It is an amenable number.

13851370958049 is a deficient number, since it is larger than the sum of its proper divisors (6840233226048).

13851370958049 is an frugal number, since it uses more digits than its factorization.

13851370958049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827066 (or 413530 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 13851370958049 in words is "thirteen trillion, eight hundred fifty-one billion, three hundred seventy million, nine hundred fifty-eight thousand, forty-nine".