4617085078125 has 96 divisors (see below), whose sum is σ = 8977660220256. Its totient is φ = 2273022000000.

The previous prime is 4617085078049. The next prime is 4617085078153. The reversal of 4617085078125 is 5218705807164.

4617085078125 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 0 + 8 + 507 + 8 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 114549079401 + 4502535998724 = 338451^2 + 2121918^2 .

It is not a de Polignac number, because 4617085078125 - 2¹² = 4617085074029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8888067 + ... + 9393183.

It is an arithmetic number, because the mean of its divisors is an integer number (93517293961).

Almost surely, 2^{4617085078125} is an apocalyptic number.

4617085078125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4617085078125 is a deficient number, since it is larger than the sum of its proper divisors (4360575142131).

4617085078125 is an frugal number, since it uses more digits than its factorization.

4617085078125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505171 (or 505138 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 4617085078125 in words is "four trillion, six hundred seventeen billion, eighty-five million, seventy-eight thousand, one hundred twenty-five".