4678266184900 has 405 divisors, whose sum is σ = 13230072796017. Its totient is φ = 1430648419200.

The previous prime is 4678266184871. The next prime is 4678266184901. The reversal of 4678266184900 is 94816628764.

The square root of 4678266184900 is 2162930.

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

It can be written as a sum of positive squares in 7 ways, for example, as 958397924484 + 3719868260416 = 978978^2 + 1928696^2 .

It is not an unprimeable number, because it can be changed into a prime (4678266184901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 88269173274 + ... + 88269173326.

Almost surely, 2^{4678266184900} is an apocalyptic number.

4678266184900 is the 2162930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4678266184900

4678266184900 is an abundant number, since it is smaller than the sum of its proper divisors (8551806611117).

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

4678266184900 is an frugal number, since it uses more digits than its factorization.

4678266184900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 4678266184900 in words is "four trillion, six hundred seventy-eight billion, two hundred sixty-six million, one hundred eighty-four thousand, nine hundred".