348966958672849 has 16 divisors (see below), whose sum is σ = 386940021217920. Its totient is φ = 312035575536000.

The previous prime is 348966958672817. The next prime is 348966958672861. The reversal of 348966958672849 is 948276859669843.

It is a cyclic number.

It is not a de Polignac number, because 348966958672849 - 2⁵ = 348966958672817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348966958672649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27471597 + ... + 38113285.

It is an arithmetic number, because the mean of its divisors is an integer number (24183751326120).

Almost surely, 2^{348966958672849} is an apocalyptic number.

It is an amenable number.

348966958672849 is a deficient number, since it is larger than the sum of its proper divisors (37973062545071).

348966958672849 is a wasteful number, since it uses less digits than its factorization.

348966958672849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690632.

The product of its digits is 270888468480, while the sum is 94.

The spelling of 348966958672849 in words is "three hundred forty-eight trillion, nine hundred sixty-six billion, nine hundred fifty-eight million, six hundred seventy-two thousand, eight hundred forty-nine".