9918846336400 has 405 divisors, whose sum is σ = 25915639887849. Its totient is φ = 3647481876480.

The previous prime is 9918846336379. The next prime is 9918846336461. The reversal of 9918846336400 is 46336488199.

The square root of 9918846336400 is 3149420.

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

9918846336400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5550679456144 + 4368166880256 = 2355988^2 + 2090016^2 .

It is a super-3 number, since 3×9918846336400³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63177365122 + ... + 63177365278.

Almost surely, 2^{9918846336400} is an apocalyptic number.

9918846336400 is the 3149420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918846336400

9918846336400 is an abundant number, since it is smaller than the sum of its proper divisors (15996793551449).

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

9918846336400 is a wasteful number, since it uses less digits than its factorization.

9918846336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 9918846336400 in words is "nine trillion, nine hundred eighteen billion, eight hundred forty-six million, three hundred thirty-six thousand, four hundred".