94944124800 has 864 divisors, whose sum is σ = 414952738200. Its totient is φ = 20553523200.

The previous prime is 94944124747. The next prime is 94944124811. The reversal of 94944124800 is 842144949.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 107 ways as a sum of consecutive naturals, for example, 26811030 + ... + 26814570.

Almost surely, 2^94944124800 is an apocalyptic number.

94944124800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94944124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207476369100).

94944124800 is an abundant number, since it is smaller than the sum of its proper divisors (320008613400).

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

94944124800 is a wasteful number, since it uses less digits than its factorization.

94944124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 94944124800 in words is "ninety-four billion, nine hundred forty-four million, one hundred twenty-four thousand, eight hundred".