94224441600 has 243 divisors, whose sum is σ = 337137238893. Its totient is φ = 25106872320.

The previous prime is 94224441593. The next prime is 94224441601. The reversal of 94224441600 is 614442249.

It is a happy number.

The square root of 94224441600 is 306960.

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

94224441600 is a `hidden beast` number, since 9 + 4 + 2 + 2 + 4 + 4 + 41 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33920798976 + 60303642624 = 184176^2 + 245568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (94224441601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73669761 + ... + 73671039.

Almost surely, 2^94224441600 is an apocalyptic number.

94224441600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94224441600 is the 306960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94224441600

94224441600 is an abundant number, since it is smaller than the sum of its proper divisors (242912797293).

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

94224441600 is an equidigital number, since it uses as much as digits as its factorization.

94224441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 94224441600 by its sum of digits (36), we get a square (3392079897600 = 1841760²).

94224441600 divided by its sum of digits (36) gives a square (2617345600 = 51160²).

Adding to 94224441600 its reverse (614442249), we get a palindrome (94838883849).

It can be divided in two parts, 94224 and 441600, that added together give a square (535824 = 732²).

The spelling of 94224441600 in words is "ninety-four billion, two hundred twenty-four million, four hundred forty-one thousand, six hundred".