8007074144109 has 24 divisors (see below), whose sum is σ = 11585636163192. Its totient is φ = 5328883123200.

The previous prime is 8007074144081. The next prime is 8007074144117. The reversal of 8007074144109 is 9014414707008.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1422092025225 + 6584982118884 = 1192515^2 + 2566122^2 .

It is not a de Polignac number, because 8007074144109 - 2⁵ = 8007074144077 is a prime.

It is a super-2 number, since 2×8007074144109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007074154109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165366787 + ... + 165415199.

It is an arithmetic number, because the mean of its divisors is an integer number (482734840133).

Almost surely, 2^{8007074144109} is an apocalyptic number.

It is an amenable number.

8007074144109 is a deficient number, since it is larger than the sum of its proper divisors (3578562019083).

8007074144109 is a wasteful number, since it uses less digits than its factorization.

8007074144109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79597 (or 79594 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 8007074144109 in words is "eight trillion, seven billion, seventy-four million, one hundred forty-four thousand, one hundred nine".