393721368096 has 192 divisors, whose sum is σ = 1233060046848. Its totient is φ = 107553650688.

The previous prime is 393721368091. The next prime is 393721368097. The reversal of 393721368096 is 690863127393.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (393721368091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49254276 + ... + 49262268.

It is an arithmetic number, because the mean of its divisors is an integer number (6422187744).

Almost surely, 2^393721368096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393721368096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616530023424).

393721368096 is an abundant number, since it is smaller than the sum of its proper divisors (839338678752).

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

393721368096 is a wasteful number, since it uses less digits than its factorization.

393721368096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223 (or 11215 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 393721368096 in words is "three hundred ninety-three billion, seven hundred twenty-one million, three hundred sixty-eight thousand, ninety-six".