9933893668864 has 273 divisors, whose sum is σ = 22458450912429. Its totient is φ = 4393368207360.

The previous prime is 9933893668849. The next prime is 9933893668879. The reversal of 9933893668864 is 4688663983399.

The square root of 9933893668864 is 3151808.

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

It is an interprime number because it is at equal distance from previous prime (9933893668849) and next prime (9933893668879).

It can be written as a sum of positive squares in only one way, i.e., 8888984473600 + 1044909195264 = 2981440^2 + 1022208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 268483612654 + ... + 268483612690.

Almost surely, 2^{9933893668864} is an apocalyptic number.

9933893668864 is the 3151808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9933893668864

9933893668864 is an abundant number, since it is smaller than the sum of its proper divisors (12524557243565).

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

9933893668864 is an frugal number, since it uses more digits than its factorization.

9933893668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 50 counting only the distinct ones).

The product of its digits is 8707129344, while the sum is 82.

The spelling of 9933893668864 in words is "nine trillion, nine hundred thirty-three billion, eight hundred ninety-three million, six hundred sixty-eight thousand, eight hundred sixty-four".