314432000000 has 364 divisors, whose sum is σ = 835087357620. Its totient is φ = 118374400000.

The previous prime is 314431999997. The next prime is 314432000059. The reversal of 314432000000 is 234413.

The cubic root of 314432000000 is 6800.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 14 ways, for example, as 272200105984 + 42231894016 = 521728^2 + 205504^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18495999992 + ... + 18496000008.

Almost surely, 2^314432000000 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 314432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417543678810).

314432000000 is an abundant number, since it is smaller than the sum of its proper divisors (520655357620).

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

314432000000 is an frugal number, since it uses more digits than its factorization.

314432000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Multiplying 314432000000 by its sum of digits (17), we get a square (5345344000000 = 2312000²).

314432000000 divided by its sum of digits (17) gives a square (18496000000 = 136000²).

Adding to 314432000000 its reverse (234413), we get a palindrome (314432234413).

The spelling of 314432000000 in words is "three hundred fourteen billion, four hundred thirty-two million", and thus it is an aban number.