104346643401 has 48 divisors (see below), whose sum is σ = 202369265280. Its totient is φ = 50036348160.

The previous prime is 104346643369. The next prime is 104346643441.

104346643401 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 6 + 643 + 4 + 0 + 1 = 666.

104346643401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104346643401 - 2⁵ = 104346643369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104346643441) 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 47 ways as a sum of consecutive naturals, for example, 5782236 + ... + 5800253.

It is an arithmetic number, because the mean of its divisors is an integer number (4216026360).

Almost surely, 2^104346643401 is an apocalyptic number.

104346643401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104346643401 is a deficient number, since it is larger than the sum of its proper divisors (98022621879).

104346643401 is a wasteful number, since it uses less digits than its factorization.

104346643401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582526 (or 11582523 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 104346 and 643401, that added together give a palindrome (747747).

The spelling of 104346643401 in words is "one hundred four billion, three hundred forty-six million, six hundred forty-three thousand, four hundred one".