993093984000 has 216 divisors, whose sum is σ = 3573442843152. Its totient is φ = 264824985600.

The previous prime is 993093983977. The next prime is 993093984007. The reversal of 993093984000 is 489390399.

It is a super-2 number, since 2×993093984000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993093984007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436122 + ... + 2012121.

Almost surely, 2^993093984000 is an apocalyptic number.

993093984000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993093984000 is an abundant number, since it is smaller than the sum of its proper divisors (2580348859152).

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

993093984000 is a wasteful number, since it uses less digits than its factorization.

993093984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448280 (or 3448253 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 993093984000 in words is "nine hundred ninety-three billion, ninety-three million, nine hundred eighty-four thousand".