314405532000000 has 756 divisors, whose sum is σ = 1294996831015888. Its totient is φ = 71864064000000.

The previous prime is 314405531999969. The next prime is 314405532000011. The reversal of 314405532000000 is 235504413.

314405532000000 is a `hidden beast` number, since 3 + 1 + 4 + 405 + 53 + 200 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 251376180 + ... + 252623820.

Almost surely, 2^{314405532000000} is an apocalyptic number.

314405532000000 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 314405532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647498415507944).

314405532000000 is an abundant number, since it is smaller than the sum of its proper divisors (980591299015888).

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

314405532000000 is an frugal number, since it uses more digits than its factorization.

314405532000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247700 (or 1247658 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 314405532000000 its reverse (235504413), we get a palindrome (314405767504413).

The spelling of 314405532000000 in words is "three hundred fourteen trillion, four hundred five billion, five hundred thirty-two million", and thus it is an aban number.