49066116287841 has 27 divisors (see below), whose sum is σ = 71571206885139. Its totient is φ = 32391735188112.

The previous prime is 49066116287833. The next prime is 49066116287849. The reversal of 49066116287841 is 14878261166094.

The square root of 49066116287841 is 7004721.

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

49066116287841 is a `hidden beast` number, since 4 + 9 + 0 + 6 + 611 + 6 + 2 + 8 + 7 + 8 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (49066116287833) and next prime (49066116287849).

It can be written as a sum of positive squares in only one way, i.e., 47613850277841 + 1452266010000 = 6900279^2 + 1205100^2 .

It is not a de Polignac number, because 49066116287841 - 2³ = 49066116287833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49066116287849) 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 26 ways as a sum of consecutive naturals, for example, 2164447455 + ... + 2164470123.

Almost surely, 2^{49066116287841} is an apocalyptic number.

49066116287841 is the 7004721-st square number.

49066116287841 is the 3502361-st centered octagonal number.

It is an amenable number.

49066116287841 is a deficient number, since it is larger than the sum of its proper divisors (22505090597298).

49066116287841 is an frugal number, since it uses more digits than its factorization.

49066116287841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45550 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 49066116287841 in words is "forty-nine trillion, sixty-six billion, one hundred sixteen million, two hundred eighty-seven thousand, eight hundred forty-one".