993898816092 has 864 divisors, whose sum is σ = 3433239613440. Its totient is φ = 239564666880.

The previous prime is 993898816081. The next prime is 993898816129. The reversal of 993898816092 is 290618898399.

It is a happy number.

993898816092 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 9 + 8 + 8 + 1 + 609 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 993898816092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1455195583 + ... + 1455196265.

It is an arithmetic number, because the mean of its divisors is an integer number (3973656960).

Almost surely, 2^993898816092 is an apocalyptic number.

993898816092 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993898816092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716619806720).

993898816092 is an abundant number, since it is smaller than the sum of its proper divisors (2439340797348).

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

993898816092 is a wasteful number, since it uses less digits than its factorization.

993898816092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 993898816092 in words is "nine hundred ninety-three billion, eight hundred ninety-eight million, eight hundred sixteen thousand, ninety-two".