8013624148817 has 16 divisors (see below), whose sum is σ = 9640604645760. Its totient is φ = 6507199504512.

The previous prime is 8013624148811. The next prime is 8013624148837. The reversal of 8013624148817 is 7188414263108.

It is not a de Polignac number, because 8013624148817 - 2¹⁸ = 8013623886673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8013624148811) 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 15 ways as a sum of consecutive naturals, for example, 8465963 + ... + 9364815.

It is an arithmetic number, because the mean of its divisors is an integer number (602537790360).

Almost surely, 2^{8013624148817} is an apocalyptic number.

It is an amenable number.

8013624148817 is a deficient number, since it is larger than the sum of its proper divisors (1626980496943).

8013624148817 is a wasteful number, since it uses less digits than its factorization.

8013624148817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965912.

The product of its (nonzero) digits is 2064384, while the sum is 53.

The spelling of 8013624148817 in words is "eight trillion, thirteen billion, six hundred twenty-four million, one hundred forty-eight thousand, eight hundred seventeen".