8910085645 has 32 divisors (see below), whose sum is σ = 11456454240. Its totient is φ = 6628884480.

The previous prime is 8910085637. The next prime is 8910085649. The reversal of 8910085645 is 5465800198.

It can be written as a sum of positive squares in 16 ways, for example, as 1022336676 + 7887748969 = 31974^2 + 88813^2 .

It is not a de Polignac number, because 8910085645 - 2³ = 8910085637 is a prime.

It is a super-3 number, since 3×8910085645³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8910085595 and 8910085604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8910085649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010635 + ... + 4012855.

It is an arithmetic number, because the mean of its divisors is an integer number (358014195).

Almost surely, 2^8910085645 is an apocalyptic number.

8910085645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8910085645 is the 47197-th decagonal number.

It is an amenable number.

8910085645 is a deficient number, since it is larger than the sum of its proper divisors (2546368595).

8910085645 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8910085644) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2785).

8910085645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785.

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 8910085645 is about 94393.2499970204. The cubic root of 8910085645 is about 2073.1336114422.

The spelling of 8910085645 in words is "eight billion, nine hundred ten million, eighty-five thousand, six hundred forty-five".