4585345818704 has 120 divisors (see below), whose sum is σ = 10473633740520. Its totient is φ = 1938802618368.

The previous prime is 4585345818701. The next prime is 4585345818707. The reversal of 4585345818704 is 4078185435854.

It is an interprime number because it is at equal distance from previous prime (4585345818701) and next prime (4585345818707).

It can be written as a sum of positive squares in 4 ways, for example, as 52909200400 + 4532436618304 = 230020^2 + 2128952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4585345818701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31815734 + ... + 31959530.

It is an arithmetic number, because the mean of its divisors is an integer number (87280281171).

Almost surely, 2^{4585345818704} 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 4585345818704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236816870260).

4585345818704 is an abundant number, since it is smaller than the sum of its proper divisors (5888287921816).

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

4585345818704 is a wasteful number, since it uses less digits than its factorization.

4585345818704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144365 (or 144352 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 62.

The spelling of 4585345818704 in words is "four trillion, five hundred eighty-five billion, three hundred forty-five million, eight hundred eighteen thousand, seven hundred four".