6133238120849 has 16 divisors (see below), whose sum is σ = 7056114057216. Its totient is φ = 5222039706000.

The previous prime is 6133238120833. The next prime is 6133238120903. The reversal of 6133238120849 is 9480218323316.

It is a cyclic number.

It is not a de Polignac number, because 6133238120849 - 2⁴ = 6133238120833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6133238120797 and 6133238120806.

It is not an unprimeable number, because it can be changed into a prime (6133238126849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30475544 + ... + 30676134.

It is an arithmetic number, because the mean of its divisors is an integer number (441007128576).

Almost surely, 2^{6133238120849} is an apocalyptic number.

It is an amenable number.

6133238120849 is a deficient number, since it is larger than the sum of its proper divisors (922875936367).

6133238120849 is a wasteful number, since it uses less digits than its factorization.

6133238120849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229676.

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 6133238120849 in words is "six trillion, one hundred thirty-three billion, two hundred thirty-eight million, one hundred twenty thousand, eight hundred forty-nine".