2993121444096 has 729 divisors, whose sum is σ = 10634281943103. Its totient is φ = 807178659840.

The previous prime is 2993121444059. The next prime is 2993121444109. The reversal of 2993121444096 is 6904441213992.

The square root of 2993121444096 is 1730064.

It is a perfect power (a square), and thus also a powerful number.

2993121444096 is a `hidden beast` number, since 2 + 9 + 93 + 1 + 2 + 144 + 409 + 6 = 666.

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 80 ways as a sum of consecutive naturals, for example, 11044728441 + ... + 11044728711.

Almost surely, 2^{2993121444096} is an apocalyptic number.

2993121444096 is the 1730064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993121444096

2993121444096 is an abundant number, since it is smaller than the sum of its proper divisors (7641160499007).

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

2993121444096 is an equidigital number, since it uses as much as digits as its factorization.

2993121444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2993121444096 in words is "two trillion, nine hundred ninety-three billion, one hundred twenty-one million, four hundred forty-four thousand, ninety-six".