994993459200 has 2496 divisors, whose sum is σ = 4368253747200. Its totient is φ = 219768422400.

The previous prime is 994993459157. The next prime is 994993459277. The reversal of 994993459200 is 2954399499.

994993459200 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 9 + 34 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 21170073577 + ... + 21170073623.

Almost surely, 2^994993459200 is an apocalyptic number.

994993459200 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 994993459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184126873600).

994993459200 is an abundant number, since it is smaller than the sum of its proper divisors (3373260288000).

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

994993459200 is a wasteful number, since it uses less digits than its factorization.

994993459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 994993459200 in words is "nine hundred ninety-four billion, nine hundred ninety-three million, four hundred fifty-nine thousand, two hundred".