8160034722048 has 540 divisors, whose sum is σ = 26991082720140. Its totient is φ = 2449970012160.

The previous prime is 8160034722031. The next prime is 8160034722067. The reversal of 8160034722048 is 8402274300618.

It is a happy number.

8160034722048 is a `hidden beast` number, since 8 + 1 + 600 + 34 + 7 + 2 + 2 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2574715486464 + 5585319235584 = 1604592^2 + 2363328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8160034721994 and 8160034722012.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 273472186 + ... + 273502022.

Almost surely, 2^{8160034722048} is an apocalyptic number.

8160034722048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8160034722048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495541360070).

8160034722048 is an abundant number, since it is smaller than the sum of its proper divisors (18831047998092).

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

8160034722048 is a wasteful number, since it uses less digits than its factorization.

8160034722048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29996 (or 29962 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8160034722048 in words is "eight trillion, one hundred sixty billion, thirty-four million, seven hundred twenty-two thousand, forty-eight".