104416343614401 has 96 divisors (see below), whose sum is σ = 179024050227456. Its totient is φ = 53637474240000.

The previous prime is 104416343614393. The next prime is 104416343614409.

104416343614401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (104416343614393) and next prime (104416343614409).

It is not a de Polignac number, because 104416343614401 - 2³ = 104416343614393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104416343614409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7339356 + ... + 16207986.

It is an arithmetic number, because the mean of its divisors is an integer number (1864833856536).

Almost surely, 2^{104416343614401} is an apocalyptic number.

It is an amenable number.

104416343614401 is a deficient number, since it is larger than the sum of its proper divisors (74607706613055).

104416343614401 is a wasteful number, since it uses less digits than its factorization.

104416343614401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868823 (or 8868816 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 104416343614401 in words is "one hundred four trillion, four hundred sixteen billion, three hundred forty-three million, six hundred fourteen thousand, four hundred one".