8001356996889 has 9 divisors (see below), whose sum is σ = 11557527919743. Its totient is φ = 5334232340592.

The previous prime is 8001356996861. The next prime is 8001356996891. The reversal of 8001356996889 is 9886996531008.

The square root of 8001356996889 is 2828667.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7610331894489 + 391025102400 = 2758683^2 + 625320^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8001356996889 - 2³³ = 7992767062297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8001356996989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8014557 + ... + 8957445.

Almost surely, 2^{8001356996889} is an apocalyptic number.

8001356996889 is the 2828667-th square number.

8001356996889 is the 1414334-th centered octagonal number.

It is an amenable number.

8001356996889 is a deficient number, since it is larger than the sum of its proper divisors (3556170922854).

8001356996889 is an frugal number, since it uses more digits than its factorization.

8001356996889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885784 (or 942892 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 8001356996889 in words is "eight trillion, one billion, three hundred fifty-six million, nine hundred ninety-six thousand, eight hundred eighty-nine".