1643440114116 has 36 divisors (see below), whose sum is σ = 4177203081324. Its totient is φ = 544786776000.

The previous prime is 1643440114093. The next prime is 1643440114157. The reversal of 1643440114116 is 6114110443461.

1643440114116 is a `hidden beast` number, since 1 + 64 + 3 + 440 + 1 + 141 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 363138812100 + 1280301302016 = 602610^2 + 1131504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1643440114116² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 126101535 + ... + 126114566.

Almost surely, 2^{1643440114116} is an apocalyptic number.

It is an amenable number.

1643440114116 is an abundant number, since it is smaller than the sum of its proper divisors (2533762967208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1643440114116 is a wasteful number, since it uses less digits than its factorization.

1643440114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252216292 (or 252216287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 1643440114116 its reverse (6114110443461), we get a palindrome (7757550557577).

The spelling of 1643440114116 in words is "one trillion, six hundred forty-three billion, four hundred forty million, one hundred fourteen thousand, one hundred sixteen".