4618587828100 has 81 divisors (see below), whose sum is σ = 10578524878341. Its totient is φ = 1750046968800.

The previous prime is 4618587828067. The next prime is 4618587828121. The reversal of 4618587828100 is 18287858164.

The square root of 4618587828100 is 2149090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1662691618116 + 2955896209984 = 1289454^2 + 1719272^2 .

It is a super-2 number, since 2×4618587828100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408321445 + ... + 408332755.

Almost surely, 2^{4618587828100} is an apocalyptic number.

4618587828100 is the 2149090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4618587828100

4618587828100 is an abundant number, since it is smaller than the sum of its proper divisors (5959937050241).

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

4618587828100 is an equidigital number, since it uses as much as digits as its factorization.

4618587828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22674 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 58.

The spelling of 4618587828100 in words is "four trillion, six hundred eighteen billion, five hundred eighty-seven million, eight hundred twenty-eight thousand, one hundred".