49013762966289 has 45 divisors (see below), whose sum is σ = 80480526639051. Its totient is φ = 29704890829680.

The previous prime is 49013762966249. The next prime is 49013762966321. The reversal of 49013762966289 is 98266926731094.

The square root of 49013762966289 is 7000983.

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

49013762966289 is a `hidden beast` number, since 4 + 90 + 1 + 376 + 2 + 96 + 6 + 2 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24812204004225 + 24201558962064 = 4981185^2 + 4919508^2 .

It is not a de Polignac number, because 49013762966289 - 2¹⁵ = 49013762933521 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49013762966219) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 693061959 + ... + 693132675.

Almost surely, 2^{49013762966289} is an apocalyptic number.

49013762966289 is the 7000983-rd square number.

49013762966289 is the 3500492-nd centered octagonal number.

It is an amenable number.

49013762966289 is a deficient number, since it is larger than the sum of its proper divisors (31466763672762).

49013762966289 is an frugal number, since it uses more digits than its factorization.

49013762966289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141468 (or 70731 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 49013762966289 in words is "forty-nine trillion, thirteen billion, seven hundred sixty-two million, nine hundred sixty-six thousand, two hundred eighty-nine".