8906911958025 has 81 divisors (see below), whose sum is σ = 16568262931701. Its totient is φ = 4749708404160.

The previous prime is 8906911958023. The next prime is 8906911958033. The reversal of 8906911958025 is 5208591196098.

The square root of 8906911958025 is 2984445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1123012836729 + 7783899121296 = 1059723^2 + 2789964^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 8906911958025 - 2¹ = 8906911958023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8906911958023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1208696541 + ... + 1208703909.

Almost surely, 2^{8906911958025} is an apocalyptic number.

8906911958025 is the 2984445-th square number.

8906911958025 is the 1492223-rd centered octagonal number.

It is an amenable number.

8906911958025 is a deficient number, since it is larger than the sum of its proper divisors (7661350973676).

8906911958025 is an frugal number, since it uses more digits than its factorization.

8906911958025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 8906911958025 in words is "eight trillion, nine hundred six billion, nine hundred eleven million, nine hundred fifty-eight thousand, twenty-five".