314193600000 has 960 divisors, whose sum is σ = 1329814886400. Its totient is φ = 71746560000.

The previous prime is 314193599977. The next prime is 314193600013. The reversal of 314193600000 is 6391413.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302399481 + ... + 302400519.

It is an arithmetic number, because the mean of its divisors is an integer number (1385223840).

Almost surely, 2^314193600000 is an apocalyptic number.

314193600000 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 314193600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664907443200).

314193600000 is an abundant number, since it is smaller than the sum of its proper divisors (1015621286400).

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

314193600000 is an frugal number, since it uses more digits than its factorization.

314193600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 314193600000 its reverse (6391413), we get a palindrome (314199991413).

The spelling of 314193600000 in words is "three hundred fourteen billion, one hundred ninety-three million, six hundred thousand".