346887788643 has 48 divisors (see below), whose sum is σ = 564235173216. Its totient is φ = 203514232320.

The previous prime is 346887788623. The next prime is 346887788657.

346887788643 is a `hidden beast` number, since 3 + 468 + 87 + 7 + 8 + 86 + 4 + 3 = 666.

346887788643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346887788643 - 2¹⁰ = 346887787619 is a prime.

It is a super-2 number, since 2×346887788643² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346887788623) 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 47 ways as a sum of consecutive naturals, for example, 481255 + ... + 961967.

It is an arithmetic number, because the mean of its divisors is an integer number (11754899442).

Almost surely, 2^346887788643 is an apocalyptic number.

346887788643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346887788643 is a deficient number, since it is larger than the sum of its proper divisors (217347384573).

346887788643 is a wasteful number, since it uses less digits than its factorization.

346887788643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480964 (or 480961 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 346887788643 in words is "three hundred forty-six billion, eight hundred eighty-seven million, seven hundred eighty-eight thousand, six hundred forty-three".