11967148955349 has 96 divisors (see below), whose sum is σ = 20709262909440. Its totient is φ = 6810020832384.

The previous prime is 11967148955347. The next prime is 11967148955369. The reversal of 11967148955349 is 94355984176911.

11967148955349 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 7 + 1 + 4 + 89 + 5 + 534 + 9 = 666.

11967148955349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11967148955349 - 2¹ = 11967148955347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11967148955341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563228844 + ... + 563250090.

It is an arithmetic number, because the mean of its divisors is an integer number (215721488640).

Almost surely, 2^{11967148955349} is an apocalyptic number.

It is an amenable number.

11967148955349 is a deficient number, since it is larger than the sum of its proper divisors (8742113954091).

11967148955349 is a wasteful number, since it uses less digits than its factorization.

11967148955349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23016 (or 23003 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 11967148955349 in words is "eleven trillion, nine hundred sixty-seven billion, one hundred forty-eight million, nine hundred fifty-five thousand, three hundred forty-nine".