994951609745328 has 240 divisors, whose sum is σ = 2815927144842240. Its totient is φ = 327923495553024.

The previous prime is 994951609745279. The next prime is 994951609745339. The reversal of 994951609745328 is 823547906159499.

994951609745328 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 5 + 1 + 6 + 0 + 9 + 74 + 532 + 8 = 666.

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, 27763232626 + ... + 27763268462.

It is an arithmetic number, because the mean of its divisors is an integer number (11733029770176).

It is a 1-persistent number, because it is pandigital, but 2⋅994951609745328 = 1989903219490656 is not.

Almost surely, 2^{994951609745328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994951609745328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407963572421120).

994951609745328 is an abundant number, since it is smaller than the sum of its proper divisors (1820975535096912).

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

994951609745328 is a wasteful number, since it uses less digits than its factorization.

994951609745328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41084 (or 41075 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 994951609745328 in words is "nine hundred ninety-four trillion, nine hundred fifty-one billion, six hundred nine million, seven hundred forty-five thousand, three hundred twenty-eight".