348161272767 has 24 divisors (see below), whose sum is σ = 626991730560. Its totient is φ = 180862998480.

The previous prime is 348161272759. The next prime is 348161272777. The reversal of 348161272767 is 767272161843.

348161272767 is a `hidden beast` number, since 3 + 481 + 61 + 27 + 27 + 67 = 666.

It is not a de Polignac number, because 348161272767 - 2³ = 348161272759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348161272717) 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 23 ways as a sum of consecutive naturals, for example, 251197917 + ... + 251199302.

It is an arithmetic number, because the mean of its divisors is an integer number (26124655440).

Almost surely, 2^348161272767 is an apocalyptic number.

348161272767 is a deficient number, since it is larger than the sum of its proper divisors (278830457793).

348161272767 is a wasteful number, since it uses less digits than its factorization.

348161272767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502397243 (or 502397240 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 348161272767 in words is "three hundred forty-eight billion, one hundred sixty-one million, two hundred seventy-two thousand, seven hundred sixty-seven".