348470833820769 has 64 divisors (see below), whose sum is σ = 563524414252800. Its totient is φ = 211067265024000.

The previous prime is 348470833820737. The next prime is 348470833820819. The reversal of 348470833820769 is 967028338074843.

348470833820769 is a `hidden beast` number, since 3 + 4 + 8 + 470 + 8 + 3 + 3 + 82 + 0 + 76 + 9 = 666.

It is not a de Polignac number, because 348470833820769 - 2⁵ = 348470833820737 is a prime.

It is a super-2 number, since 2×348470833820769² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 348470833820697 and 348470833820706.

It is not an unprimeable number, because it can be changed into a prime (348470833827769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4537283169 + ... + 4537359969.

It is an arithmetic number, because the mean of its divisors is an integer number (8805068972700).

Almost surely, 2^{348470833820769} is an apocalyptic number.

It is an amenable number.

348470833820769 is a deficient number, since it is larger than the sum of its proper divisors (215053580432031).

348470833820769 is a wasteful number, since it uses less digits than its factorization.

348470833820769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85823 (or 85817 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 348470833820769 in words is "three hundred forty-eight trillion, four hundred seventy billion, eight hundred thirty-three million, eight hundred twenty thousand, seven hundred sixty-nine".