8910416025 has 243 divisors, whose sum is σ = 19867686813. Its totient is φ = 3806006400.

The previous prime is 8910415999. The next prime is 8910416051. The reversal of 8910416025 is 5206140198.

8910416025 = 1³ + 2³ + ... + 434³.

The square root of 8910416025 is 94395.

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

8910416025 is a `hidden beast` number, since 8 + 9 + 1 + 0 + 41 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (8910415999) and next prime (8910416051).

It can be written as a sum of positive squares in 4 ways, for example, as 122478489 + 8787937536 = 11067^2 + 93744^2 .

It is not a de Polignac number, because 8910416025 - 2¹¹ = 8910413977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 287432760 + ... + 287432790.

Almost surely, 2^8910416025 is an apocalyptic number.

8910416025 is the 94395-th square number.

8910416025 is the 47198-th centered octagonal number.

It is an amenable number.

8910416025 is an abundant number, since it is smaller than the sum of its proper divisors (10957270788).

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

8910416025 is a wasteful number, since it uses less digits than its factorization.

8910416025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 8910416025 is about 2073.1592345935.

Multiplying 8910416025 by its sum of digits (36), we get a square (320774976900 = 566370²).

The spelling of 8910416025 in words is "eight billion, nine hundred ten million, four hundred sixteen thousand, twenty-five".