4891484188900 has 81 divisors (see below), whose sum is σ = 10778576179707. Its totient is φ = 1926806904000.

The previous prime is 4891484188889. The next prime is 4891484188951. The reversal of 4891484188900 is 98814841984.

The square root of 4891484188900 is 2211670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 945635663844 + 3945848525056 = 972438^2 + 1986416^2 .

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, 1481817250 + ... + 1481820550.

Almost surely, 2^{4891484188900} is an apocalyptic number.

4891484188900 is the 2211670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4891484188900

4891484188900 is an abundant number, since it is smaller than the sum of its proper divisors (5887091990807).

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

4891484188900 is an frugal number, since it uses more digits than its factorization.

4891484188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 64.

Multiplying 4891484188900 by its sum of digits (64), we get a square (313054988089600 = 17693360²).

The spelling of 4891484188900 in words is "four trillion, eight hundred ninety-one billion, four hundred eighty-four million, one hundred eighty-eight thousand, nine hundred".