49295988729 has 27 divisors (see below), whose sum is σ = 77117528397. Its totient is φ = 30330664416.

The previous prime is 49295988683. The next prime is 49295988779. The reversal of 49295988729 is 92788959294.

The square root of 49295988729 is 222027.

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

49295988729 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 598 + 8 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26252748729 + 23043240000 = 162027^2 + 151800^2 .

It is not a de Polignac number, because 49295988729 - 2³¹ = 47148505081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49295988779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8656207 + ... + 8661899.

Almost surely, 2^49295988729 is an apocalyptic number.

49295988729 is the 222027-th square number.

49295988729 is the 111014-th centered octagonal number.

It is an amenable number.

49295988729 is a deficient number, since it is larger than the sum of its proper divisors (27821539668).

49295988729 is an frugal number, since it uses more digits than its factorization.

49295988729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 5709 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 49295988729 in words is "forty-nine billion, two hundred ninety-five million, nine hundred eighty-eight thousand, seven hundred twenty-nine".