4398046511105 has 64 divisors (see below), whose sum is σ = 5936210280000. Its totient is φ = 3105655160832.

The previous prime is 4398046511093. The next prime is 4398046511119. The reversal of 4398046511105 is 5011156408934.

4398046511105 is nontrivially palindromic in base 2, base 4 and base 8.

It is a Cunningham number, because it is equal to 2⁴²+1.

It can be written as a sum of positive squares in 32 ways, for example, as 4066219821169 + 331826689936 = 2016487^2 + 576044^2 .

It is a cyclic number.

It is not a de Polignac number, because 4398046511105 - 2³² = 4393751543809 is a prime.

It is a super-2 number, since 2×4398046511105² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4398046511105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304376921 + ... + 304391369.

It is an arithmetic number, because the mean of its divisors is an integer number (92753285625).

It is a Proth number, since it is equal to 1 ⋅ 2⁴² + 1 and 1 < 2⁴².

Almost surely, 2^{4398046511105} is an apocalyptic number.

It is an amenable number.

4398046511105 is a deficient number, since it is larger than the sum of its proper divisors (1538163768895).

4398046511105 is a wasteful number, since it uses less digits than its factorization.

4398046511105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038.

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 4398046511105 in words is "four trillion, three hundred ninety-eight billion, forty-six million, five hundred eleven thousand, one hundred five".