4461853536100 has 27 divisors (see below), whose sum is σ = 9682268010681. Its totient is φ = 1784732965200.

The previous prime is 4461853536079. The next prime is 4461853536113. The reversal of 4461853536100 is 16353581644.

The square root of 4461853536100 is 2112310.

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., 1606267272996 + 2855586263104 = 1267386^2 + 1689848^2 .

It is a super-3 number, since 3×4461853536100³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21017485 + ... + 21228715.

Almost surely, 2^{4461853536100} is an apocalyptic number.

4461853536100 is the 2112310-th square number.

It is an amenable number.

4461853536100 is an abundant number, since it is smaller than the sum of its proper divisors (5220414474581).

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

4461853536100 is an frugal number, since it uses more digits than its factorization.

4461853536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422476 (or 211238 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 4461853536100 in words is "four trillion, four hundred sixty-one billion, eight hundred fifty-three million, five hundred thirty-six thousand, one hundred".