8918943331600 has 45 divisors (see below), whose sum is σ = 21427904854533. Its totient is φ = 3567553440960.

The previous prime is 8918943331589. The next prime is 8918943331603. The reversal of 8918943331600 is 61333498198.

The square root of 8918943331600 is 2986460.

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

It can be written as a sum of positive squares in only one way, i.e., 3210819599376 + 5708123732224 = 1791876^2 + 2389168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8918943331603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59654539 + ... + 59803861.

Almost surely, 2^{8918943331600} is an apocalyptic number.

8918943331600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8918943331600 is the 2986460-th square number.

It is an amenable number.

8918943331600 is an abundant number, since it is smaller than the sum of its proper divisors (12508961522933).

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

8918943331600 is an frugal number, since it uses more digits than its factorization.

8918943331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298664 (or 149330 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The spelling of 8918943331600 in words is "eight trillion, nine hundred eighteen billion, nine hundred forty-three million, three hundred thirty-one thousand, six hundred".