319668295732900 has 243 divisors, whose sum is σ = 717370845469929. Its totient is φ = 123643304997120.

The previous prime is 319668295732861. The next prime is 319668295732921. The reversal of 319668295732900 is 9237592866913.

The square root of 319668295732900 is 17879270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 68508431028324 + 251159864704576 = 8276982^2 + 15848024^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 319668295732900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 915955001926 + ... + 915955002274.

Almost surely, 2^{319668295732900} is an apocalyptic number.

319668295732900 is the 17879270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319668295732900

319668295732900 is an abundant number, since it is smaller than the sum of its proper divisors (397702549737029).

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

319668295732900 is an equidigital number, since it uses as much as digits as its factorization.

319668295732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 70.

The spelling of 319668295732900 in words is "three hundred nineteen trillion, six hundred sixty-eight billion, two hundred ninety-five million, seven hundred thirty-two thousand, nine hundred".