993694338000 has 2560 divisors, whose sum is σ = 4783693824000. Its totient is φ = 191252275200.

The previous prime is 993694337957. The next prime is 993694338001. The reversal of 993694338000 is 833496399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993694338001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2707613817 + ... + 2707614183.

It is an arithmetic number, because the mean of its divisors is an integer number (1868630400).

Almost surely, 2^993694338000 is an apocalyptic number.

993694338000 is a gapful number since it is divisible by the number (90) 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 993694338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391846912000).

993694338000 is an abundant number, since it is smaller than the sum of its proper divisors (3789999486000).

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

993694338000 is a wasteful number, since it uses less digits than its factorization.

993694338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 993694338000 in words is "nine hundred ninety-three billion, six hundred ninety-four million, three hundred thirty-eight thousand".