994576605120 has 1344 divisors, whose sum is σ = 4164514099200. Its totient is φ = 221261414400.

The previous prime is 994576605103. The next prime is 994576605137. The reversal of 994576605120 is 21506675499.

994576605120 is a `hidden beast` number, since 9 + 9 + 4 + 5 + 7 + 6 + 605 + 1 + 20 = 666.

994576605120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (994576605103) and next prime (994576605137).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4343129166 + ... + 4343129394.

It is an arithmetic number, because the mean of its divisors is an integer number (3098596800).

Almost surely, 2^994576605120 is an apocalyptic number.

994576605120 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 994576605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082257049600).

994576605120 is an abundant number, since it is smaller than the sum of its proper divisors (3169937494080).

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

994576605120 is a wasteful number, since it uses less digits than its factorization.

994576605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 994576605120 in words is "nine hundred ninety-four billion, five hundred seventy-six million, six hundred five thousand, one hundred twenty".