8878248570321 has 105 divisors (see below), whose sum is σ = 14442635617319. Its totient is φ = 5455170755424.

The previous prime is 8878248570319. The next prime is 8878248570341. The reversal of 8878248570321 is 1230758428788.

The square root of 8878248570321 is 2979639.

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

8878248570321 is a `hidden beast` number, since 8 + 8 + 7 + 8 + 24 + 8 + 570 + 32 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 8210373890625 + 667874679696 = 2865375^2 + 817236^2 .

It is not a de Polignac number, because 8878248570321 - 2¹ = 8878248570319 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8878248570341) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 13596092431 + ... + 13596093083.

Almost surely, 2^{8878248570321} is an apocalyptic number.

8878248570321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8878248570321 is the 2979639-th square number.

8878248570321 is the 1489820-th centered octagonal number.

It is an amenable number.

8878248570321 is a deficient number, since it is larger than the sum of its proper divisors (5564387046998).

8878248570321 is an frugal number, since it uses more digits than its factorization.

8878248570321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 8878248570321 in words is "eight trillion, eight hundred seventy-eight billion, two hundred forty-eight million, five hundred seventy thousand, three hundred twenty-one".