94221350668800 has 480 divisors, whose sum is σ = 353880962698560. Its totient is φ = 24541371187200.

The previous prime is 94221350668771. The next prime is 94221350668817. The reversal of 94221350668800 is 886605312249.

94221350668800 is a `hidden beast` number, since 9 + 4 + 221 + 350 + 6 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11690670 + ... + 18030930.

It is an arithmetic number, because the mean of its divisors is an integer number (737252005622).

Almost surely, 2^{94221350668800} is an apocalyptic number.

94221350668800 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 94221350668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176940481349280).

94221350668800 is an abundant number, since it is smaller than the sum of its proper divisors (259659612029760).

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

94221350668800 is a wasteful number, since it uses less digits than its factorization.

94221350668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340341 (or 6340314 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 94221350668800 in words is "ninety-four trillion, two hundred twenty-one billion, three hundred fifty million, six hundred sixty-eight thousand, eight hundred".