314006352780384 has 1536 divisors, whose sum is σ = 1105653207859200. Its totient is φ = 86711519692800.

The previous prime is 314006352780331. The next prime is 314006352780413. The reversal of 314006352780384 is 483087253600413.

It is a happy number.

314006352780384 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 6 + 3 + 527 + 80 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 314006352780384.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 78442754127 + ... + 78442758129.

It is an arithmetic number, because the mean of its divisors is an integer number (719826307200).

Almost surely, 2^{314006352780384} 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 314006352780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552826603929600).

314006352780384 is an abundant number, since it is smaller than the sum of its proper divisors (791646855078816).

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

314006352780384 is a wasteful number, since it uses less digits than its factorization.

314006352780384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 314006352780384 in words is "three hundred fourteen trillion, six billion, three hundred fifty-two million, seven hundred eighty thousand, three hundred eighty-four".