348400564681 has 8 divisors (see below), whose sum is σ = 375227451144. Its totient is φ = 321577512960.

The previous prime is 348400564669. The next prime is 348400564693. The reversal of 348400564681 is 186465004843.

It is an interprime number because it is at equal distance from previous prime (348400564669) and next prime (348400564693).

It can be written as a sum of positive squares in 4 ways, for example, as 27205203600 + 321195361081 = 164940^2 + 566741^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 348400564681 - 2²³ = 348392176073 is a prime.

It is a super-2 number, since 2×348400564681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348400564081) 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 7 ways as a sum of consecutive naturals, for example, 768586 + ... + 1134691.

It is an arithmetic number, because the mean of its divisors is an integer number (46903431393).

Almost surely, 2^348400564681 is an apocalyptic number.

It is an amenable number.

348400564681 is a deficient number, since it is larger than the sum of its proper divisors (26826886463).

348400564681 is a wasteful number, since it uses less digits than its factorization.

348400564681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917371.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 348400564681 in words is "three hundred forty-eight billion, four hundred million, five hundred sixty-four thousand, six hundred eighty-one".