4465135584 has 768 divisors, whose sum is σ = 17498880000. Its totient is φ = 1097349120.

The previous prime is 4465135579. The next prime is 4465135589. The reversal of 4465135584 is 4855315644.

4465135584 is a `hidden beast` number, since 4 + 4 + 6 + 513 + 55 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (4465135579) and next prime (4465135589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465135589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73198914 + ... + 73198974.

It is an arithmetic number, because the mean of its divisors is an integer number (22785000).

Almost surely, 2^4465135584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465135584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440000).

4465135584 is an abundant number, since it is smaller than the sum of its proper divisors (13033744416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4465135584 is a wasteful number, since it uses less digits than its factorization.

4465135584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 4465135584 is about 66821.6700180413. The cubic root of 4465135584 is about 1646.6888705958.

The spelling of 4465135584 in words is "four billion, four hundred sixty-five million, one hundred thirty-five thousand, five hundred eighty-four".