4565108961 has 36 divisors (see below), whose sum is σ = 7857744804. Its totient is φ = 2544998400.

The previous prime is 4565108959. The next prime is 4565108987. The reversal of 4565108961 is 1698015654.

4565108961 is a `hidden beast` number, since 4 + 56 + 510 + 89 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1558670400 + 3006438561 = 39480^2 + 54831^2 .

It is not a de Polignac number, because 4565108961 - 2¹ = 4565108959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4565108761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108160 + ... + 144321.

It is an arithmetic number, because the mean of its divisors is an integer number (218270689).

Almost surely, 2^4565108961 is an apocalyptic number.

4565108961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4565108961 is a deficient number, since it is larger than the sum of its proper divisors (3292635843).

4565108961 is a wasteful number, since it uses less digits than its factorization.

4565108961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252542 (or 252532 counting only the distinct ones).

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

The square root of 4565108961 is about 67565.5900662460. The cubic root of 4565108961 is about 1658.8879377385.

It can be divided in two parts, 4565 and 108961, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 4565108961 in words is "four billion, five hundred sixty-five million, one hundred eight thousand, nine hundred sixty-one".