8016144921344 has 144 divisors (see below), whose sum is σ = 18345808255488. Its totient is φ = 3424427974656.

The previous prime is 8016144921293. The next prime is 8016144921347. The reversal of 8016144921344 is 4431294416108.

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 15 ways as a sum of consecutive naturals, for example, 817718747 + ... + 817728549.

Almost surely, 2^{8016144921344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016144921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172904127744).

8016144921344 is an abundant number, since it is smaller than the sum of its proper divisors (10329663334144).

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

8016144921344 is an equidigital number, since it uses as much as digits as its factorization.

8016144921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 8016144921344 in words is "eight trillion, sixteen billion, one hundred forty-four million, nine hundred twenty-one thousand, three hundred forty-four".