4746853125 has 288 divisors, whose sum is σ = 10919301120. Its totient is φ = 2012040000.

The previous prime is 4746853109. The next prime is 4746853127. The reversal of 4746853125 is 5213586474.

4746853125 is a `hidden beast` number, since 474 + 6 + 8 + 53 + 125 = 666.

It is not a de Polignac number, because 4746853125 - 2⁴ = 4746853109 is a prime.

It is a super-3 number, since 3×4746853125³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4746853127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100996852 + ... + 100996898.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^4746853125 is an apocalyptic number.

4746853125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4746853125 is an abundant number, since it is smaller than the sum of its proper divisors (6172447995).

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

4746853125 is an frugal number, since it uses more digits than its factorization.

4746853125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4746853125 is about 68897.4101472617. The cubic root of 4746853125 is about 1680.6164032741.

The spelling of 4746853125 in words is "four billion, seven hundred forty-six million, eight hundred fifty-three thousand, one hundred twenty-five".