13007873729449 has 9 divisors (see below), whose sum is σ = 13471996574647. Its totient is φ = 12559225373464.

The previous prime is 13007873729423. The next prime is 13007873729467. The reversal of 13007873729449 is 94492737870031.

The square root of 13007873729449 is 3606643.

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

13007873729449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6821013453849 + 6186860275600 = 2611707^2 + 2487340^2 .

It is not a de Polignac number, because 13007873729449 - 2³¹ = 13005726245801 is a prime.

It is a super-2 number, since 2×13007873729449² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13007873720449) 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, 104530464 + ... + 104654830.

Almost surely, 2^{13007873729449} is an apocalyptic number.

13007873729449 is the 3606643-rd square number.

13007873729449 is the 1803322-nd centered octagonal number.

It is an amenable number.

13007873729449 is a deficient number, since it is larger than the sum of its proper divisors (464122845198).

13007873729449 is an frugal number, since it uses more digits than its factorization.

13007873729449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248792 (or 124396 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 64.

Multiplying 13007873729449 by its sum of digits (64), we get a square (832503918684736 = 28853144²).

The spelling of 13007873729449 in words is "thirteen trillion, seven billion, eight hundred seventy-three million, seven hundred twenty-nine thousand, four hundred forty-nine".