348973954561 has 16 divisors (see below), whose sum is σ = 361470020688. Its totient is φ = 336699417600.

The previous prime is 348973954501. The next prime is 348973954621. The reversal of 348973954561 is 165459379843.

It is an interprime number because it is at equal distance from previous prime (348973954501) and next prime (348973954621).

It can be written as a sum of positive squares in 8 ways, for example, as 111610114561 + 237363840000 = 334081^2 + 487200^2 .

It is not a de Polignac number, because 348973954561 - 2¹⁷ = 348973823489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 348973954493 and 348973954502.

It is not an unprimeable number, because it can be changed into a prime (348973954501) 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, 18279541 + ... + 18298621.

It is an arithmetic number, because the mean of its divisors is an integer number (22591876293).

Almost surely, 2^348973954561 is an apocalyptic number.

It is an amenable number.

348973954561 is a deficient number, since it is larger than the sum of its proper divisors (12496066127).

348973954561 is a wasteful number, since it uses less digits than its factorization.

348973954561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24852.

The product of its digits is 97977600, while the sum is 64.

The spelling of 348973954561 in words is "three hundred forty-eight billion, nine hundred seventy-three million, nine hundred fifty-four thousand, five hundred sixty-one".