13205442848749 has 64 divisors (see below), whose sum is σ = 14382716866560. Its totient is φ = 12098211840000.

The previous prime is 13205442848671. The next prime is 13205442848831. The reversal of 13205442848749 is 94784824450231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13205442848749 - 2³¹ = 13203295365101 is a prime.

It is a super-3 number, since 3×13205442848749³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205442842749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9372208557 + ... + 9372209965.

It is an arithmetic number, because the mean of its divisors is an integer number (224729951040).

Almost surely, 2^{13205442848749} is an apocalyptic number.

It is an amenable number.

13205442848749 is a deficient number, since it is larger than the sum of its proper divisors (1177274017811).

13205442848749 is a wasteful number, since it uses less digits than its factorization.

13205442848749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702.

The product of its (nonzero) digits is 61931520, while the sum is 61.

The spelling of 13205442848749 in words is "thirteen trillion, two hundred five billion, four hundred forty-two million, eight hundred forty-eight thousand, seven hundred forty-nine".