8016144921345 has 32 divisors (see below), whose sum is σ = 14317207686144. Its totient is φ = 3796229304000.

The previous prime is 8016144921293. The next prime is 8016144921347. The reversal of 8016144921345 is 5431294416108.

It is not a de Polignac number, because 8016144921345 - 2⁷ = 8016144921217 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 8016144921294 and 8016144921303.

It is not an unprimeable number, because it can be changed into a prime (8016144921347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564907981 + ... + 564922170.

It is an arithmetic number, because the mean of its divisors is an integer number (447412740192).

Almost surely, 2^{8016144921345} is an apocalyptic number.

It is an amenable number.

8016144921345 is a deficient number, since it is larger than the sum of its proper divisors (6301062764799).

8016144921345 is a wasteful number, since it uses less digits than its factorization.

8016144921345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129830213.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 8016144921345 in words is "eight trillion, sixteen billion, one hundred forty-four million, nine hundred twenty-one thousand, three hundred forty-five".