49182772119849 has 45 divisors (see below), whose sum is σ = 73643226749191. Its totient is φ = 32711637769200.

The previous prime is 49182772119847. The next prime is 49182772119851. The reversal of 49182772119849 is 94891127728194.

The square root of 49182772119849 is 7013043.

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

49182772119849 is a `hidden beast` number, since 4 + 9 + 18 + 277 + 211 + 98 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (49182772119847) and next prime (49182772119851).

It can be written as a sum of positive squares in only one way, i.e., 48892608905625 + 290163214224 = 6992325^2 + 538668^2 .

It is not a de Polignac number, because 49182772119849 - 2¹ = 49182772119847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49182772119847) 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, 42730470424 + ... + 42730471574.

Almost surely, 2^{49182772119849} is an apocalyptic number.

49182772119849 is the 7013043-rd square number.

49182772119849 is the 3506522-nd centered octagonal number.

It is an amenable number.

49182772119849 is a deficient number, since it is larger than the sum of its proper divisors (24460454629342).

49182772119849 is an frugal number, since it uses more digits than its factorization.

49182772119849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 1831 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 49182772119849 in words is "forty-nine trillion, one hundred eighty-two billion, seven hundred seventy-two million, one hundred nineteen thousand, eight hundred forty-nine".