94089427600 has 225 divisors, whose sum is σ = 264554346363. Its totient is φ = 32156167680.

The previous prime is 94089427559. The next prime is 94089427639. The reversal of 94089427600 is 672498049.

The square root of 94089427600 is 306740.

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 52857688464 + 41231739136 = 229908^2 + 203056^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 300605044 + ... + 300605356.

Almost surely, 2^94089427600 is an apocalyptic number.

94089427600 is the 306740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94089427600

94089427600 is an abundant number, since it is smaller than the sum of its proper divisors (170464918763).

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

94089427600 is an frugal number, since it uses more digits than its factorization.

94089427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 94089427600 by its sum of digits (49), we get a square (4610381952400 = 2147180²).

94089427600 divided by its sum of digits (49) gives a square (1920192400 = 43820²).

The spelling of 94089427600 in words is "ninety-four billion, eighty-nine million, four hundred twenty-seven thousand, six hundred".