104413920565969 has 49 divisors (see below), whose sum is σ = 125876629163209. Its totient is φ = 86610625354260.

The previous prime is 104413920565943. The next prime is 104413920566027. The reversal of 104413920565969 is 969565029314401.

The square root of 104413920565969 is 10218313.

The cubic root of 104413920565969 is 47089.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (49).

It is not a de Polignac number, because 104413920565969 - 2¹¹ = 104413920563921 is a prime.

It is a super-2 number, since 2×104413920565969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104413920565969.

It is not an unprimeable number, because it can be changed into a prime (104413920562969) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 3368190985984 + ... + 3368190986014.

Almost surely, 2^{104413920565969} is an apocalyptic number.

104413920565969 is the 10218313-rd square number.

104413920565969 is the 5109157-th centered octagonal number.

It is an amenable number.

104413920565969 is a deficient number, since it is larger than the sum of its proper divisors (21462708597240).

104413920565969 is an frugal number, since it uses more digits than its factorization.

104413920565969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

The spelling of 104413920565969 in words is "one hundred four trillion, four hundred thirteen billion, nine hundred twenty million, five hundred sixty-five thousand, nine hundred sixty-nine".