394368000000 has 784 divisors, whose sum is σ = 1433494151040. Its totient is φ = 95846400000.

The previous prime is 394367999989. The next prime is 394368000007. The reversal of 394368000000 is 863493.

It is a super-2 number, since 2×394368000000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (394368000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4991999961 + ... + 4992000039.

Almost surely, 2^394368000000 is an apocalyptic number.

394368000000 is a gapful number since it is divisible by the number (30) 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 394368000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716747075520).

394368000000 is an abundant number, since it is smaller than the sum of its proper divisors (1039126151040).

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

394368000000 is an frugal number, since it uses more digits than its factorization.

394368000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 394368000000 its reverse (863493), we get a palindrome (394368863493).

The spelling of 394368000000 in words is "three hundred ninety-four billion, three hundred sixty-eight million", and thus it is an aban number.