348844978161 has 81 divisors (see below), whose sum is σ = 551892166371. Its totient is φ = 212286956544.

The previous prime is 348844978151. The next prime is 348844978177. The reversal of 348844978161 is 161879448843.

The square root of 348844978161 is 590631.

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

348844978161 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 4 + 497 + 81 + 61 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 158710608225 + 190134369936 = 398385^2 + 436044^2 .

It is not a de Polignac number, because 348844978161 - 2⁷ = 348844978033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348844978151) 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 80 ways as a sum of consecutive naturals, for example, 1114520541 + ... + 1114520853.

Almost surely, 2^348844978161 is an apocalyptic number.

348844978161 is the 590631-st square number.

348844978161 is the 295316-th centered octagonal number.

It is an amenable number.

348844978161 is a deficient number, since it is larger than the sum of its proper divisors (203047188210).

348844978161 is an equidigital number, since it uses as much as digits as its factorization.

348844978161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 348844978161 in words is "three hundred forty-eight billion, eight hundred forty-four million, nine hundred seventy-eight thousand, one hundred sixty-one".