4014344016165 has 192 divisors, whose sum is σ = 7880986713600. Its totient is φ = 1736361639936.

The previous prime is 4014344016121. The next prime is 4014344016167. The reversal of 4014344016165 is 5616104434104.

It is not a de Polignac number, because 4014344016165 - 2¹² = 4014344012069 is a prime.

It is a super-2 number, since 2×4014344016165² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014344016167) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1416992589 + ... + 1416995421.

It is an arithmetic number, because the mean of its divisors is an integer number (41046805800).

Almost surely, 2^{4014344016165} is an apocalyptic number.

It is an amenable number.

4014344016165 is a deficient number, since it is larger than the sum of its proper divisors (3866642697435).

4014344016165 is a wasteful number, since it uses less digits than its factorization.

4014344016165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 4014344016165 in words is "four trillion, fourteen billion, three hundred forty-four million, sixteen thousand, one hundred sixty-five".