4145931585 has 48 divisors (see below), whose sum is σ = 7701467904. Its totient is φ = 2057844096.

The previous prime is 4145931557. The next prime is 4145931607. The reversal of 4145931585 is 5851395414.

It is a happy number.

4145931585 is a `hidden beast` number, since 4 + 1 + 4 + 593 + 1 + 58 + 5 = 666.

It is not a de Polignac number, because 4145931585 - 2⁹ = 4145931073 is a prime.

It is a super-2 number, since 2×4145931585² = 34377497415001224450, which contains 22 as substring.

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 4145931585.

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, 15837 + ... + 92426.

It is an arithmetic number, because the mean of its divisors is an integer number (160447248).

Almost surely, 2^4145931585 is an apocalyptic number.

4145931585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4145931585 is a deficient number, since it is larger than the sum of its proper divisors (3555536319).

4145931585 is a wasteful number, since it uses less digits than its factorization.

4145931585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108334 (or 108331 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 4145931585 is about 64388.9088663568. The cubic root of 4145931585 is about 1606.4752674315.

The spelling of 4145931585 in words is "four billion, one hundred forty-five million, nine hundred thirty-one thousand, five hundred eighty-five".