8848191617281 has 9 divisors (see below), whose sum is σ = 9069389823619. Its totient is φ = 8632263082000.

The previous prime is 8848191617269. The next prime is 8848191617347. The reversal of 8848191617281 is 1827161918488.

It is a happy number.

The square root of 8848191617281 is 2974591.

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., 426355455681 + 8421836161600 = 652959^2 + 2902040^2 .

It is not a de Polignac number, because 8848191617281 - 2²¹ = 8848189520129 is a prime.

It is a super-2 number, since 2×8848191617281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8848191617261) 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, 121921956 + ... + 121994506.

Almost surely, 2^{8848191617281} is an apocalyptic number.

8848191617281 is the 2974591-st square number.

8848191617281 is the 1487296-th centered octagonal number.

It is an amenable number.

8848191617281 is a deficient number, since it is larger than the sum of its proper divisors (221198206338).

8848191617281 is an frugal number, since it uses more digits than its factorization.

8848191617281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145184 (or 72592 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 64.

Multiplying 8848191617281 by its sum of digits (64), we get a square (566284263505984 = 23796728²).

The spelling of 8848191617281 in words is "eight trillion, eight hundred forty-eight billion, one hundred ninety-one million, six hundred seventeen thousand, two hundred eighty-one".