314473104000 has 2048 divisors, whose sum is σ = 1377851904000. Its totient is φ = 70543872000.

The previous prime is 314473103969. The next prime is 314473104017. The reversal of 314473104000 is 401374413.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7313327979 + ... + 7313328021.

It is an arithmetic number, because the mean of its divisors is an integer number (672779250).

Almost surely, 2^314473104000 is an apocalyptic number.

314473104000 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 314473104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688925952000).

314473104000 is an abundant number, since it is smaller than the sum of its proper divisors (1063378800000).

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

314473104000 is an equidigital number, since it uses as much as digits as its factorization.

314473104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 314473104000 its reverse (401374413), we get a palindrome (314874478413).

The spelling of 314473104000 in words is "three hundred fourteen billion, four hundred seventy-three million, one hundred four thousand".