4661558100 has 360 divisors, whose sum is σ = 16211071800. Its totient is φ = 1154580480.

The previous prime is 4661558063. The next prime is 4661558101. The reversal of 4661558100 is 18551664.

4661558100 is a `hidden beast` number, since 4 + 66 + 15 + 581 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 382828356 + 4278729744 = 19566^2 + 65412^2 .

It is a super-2 number, since 2×4661558100² = 43460247839351220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661558101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13356726 + ... + 13357074.

It is an arithmetic number, because the mean of its divisors is an integer number (45030755).

Almost surely, 2^4661558100 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 4661558100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105535900).

4661558100 is an abundant number, since it is smaller than the sum of its proper divisors (11549513700).

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

4661558100 is a wasteful number, since it uses less digits than its factorization.

4661558100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4661558100 is about 68275.6039885404. The cubic root of 4661558100 is about 1670.4893088521.

The spelling of 4661558100 in words is "four billion, six hundred sixty-one million, five hundred fifty-eight thousand, one hundred".