4146546561165 has 24 divisors (see below), whose sum is σ = 7189881026328. Its totient is φ = 2210711913600.

The previous prime is 4146546561127. The next prime is 4146546561173. The reversal of 4146546561165 is 5611656456414.

4146546561165 is a `hidden beast` number, since 4 + 1 + 4 + 65 + 4 + 6 + 561 + 16 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 505887942564 + 3640658618601 = 711258^2 + 1908051^2 .

It is not a de Polignac number, because 4146546561165 - 2³² = 4142251593869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16112286 + ... + 16367615.

It is an arithmetic number, because the mean of its divisors is an integer number (299578376097).

Almost surely, 2^{4146546561165} is an apocalyptic number.

4146546561165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4146546561165 is a deficient number, since it is larger than the sum of its proper divisors (3043334465163).

4146546561165 is a wasteful number, since it uses less digits than its factorization.

4146546561165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32482749 (or 32482746 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 4146546561165 in words is "four trillion, one hundred forty-six billion, five hundred forty-six million, five hundred sixty-one thousand, one hundred sixty-five".