94144648900 has 81 divisors (see below), whose sum is σ = 208111610343. Its totient is φ = 36966878400.

The previous prime is 94144648859. The next prime is 94144648919. The reversal of 94144648900 is 984644149.

The square root of 94144648900 is 306830.

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 43364730564 + 50779918336 = 208242^2 + 225344^2 .

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, 187166049 + ... + 187166551.

Almost surely, 2^94144648900 is an apocalyptic number.

94144648900 is the 306830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94144648900

94144648900 is an abundant number, since it is smaller than the sum of its proper divisors (113966961443).

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

94144648900 is an equidigital number, since it uses as much as digits as its factorization.

94144648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 94144648900 by its sum of digits (49), we get a square (4613087796100 = 2147810²).

It can be divided in two parts, 94144 and 648900, that added together give a square (743044 = 862²).

The spelling of 94144648900 in words is "ninety-four billion, one hundred forty-four million, six hundred forty-eight thousand, nine hundred".