4580961165 has 48 divisors (see below), whose sum is σ = 8684372736. Its totient is φ = 2215382400.

The previous prime is 4580961101. The next prime is 4580961179. The reversal of 4580961165 is 5611690854.

4580961165 is a `hidden beast` number, since 4 + 580 + 9 + 6 + 1 + 1 + 65 = 666.

4580961165 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4580961165 - 2⁶ = 4580961101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4580961165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184860 + ... + 208170.

It is an arithmetic number, because the mean of its divisors is an integer number (180924432).

Almost surely, 2^4580961165 is an apocalyptic number.

4580961165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4580961165 is a deficient number, since it is larger than the sum of its proper divisors (4103411571).

4580961165 is a wasteful number, since it uses less digits than its factorization.

4580961165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23730 (or 23727 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4580961165 is about 67682.7981469442. The cubic root of 4580961165 is about 1660.8058656757.

The spelling of 4580961165 in words is "four billion, five hundred eighty million, nine hundred sixty-one thousand, one hundred sixty-five".