314664344406300 has 288 divisors, whose sum is σ = 1076425729344000. Its totient is φ = 69439510103040.

The previous prime is 314664344406169. The next prime is 314664344406301. The reversal of 314664344406300 is 3604443466413.

It is a self number, because there is not a number n which added to its sum of digits gives 314664344406300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314664344406301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251308379 + ... + 1251559821.

It is an arithmetic number, because the mean of its divisors is an integer number (3737589338000).

Almost surely, 2^{314664344406300} is an apocalyptic number.

314664344406300 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 314664344406300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538212864672000).

314664344406300 is an abundant number, since it is smaller than the sum of its proper divisors (761761384937700).

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

314664344406300 is a wasteful number, since it uses less digits than its factorization.

314664344406300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272045 (or 272038 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 314664344406300 in words is "three hundred fourteen trillion, six hundred sixty-four billion, three hundred forty-four million, four hundred six thousand, three hundred".