314275220064 has 576 divisors, whose sum is σ = 1046139494400. Its totient is φ = 88665808896.

The previous prime is 314275220059. The next prime is 314275220113. The reversal of 314275220064 is 460022572413.

314275220064 is a `hidden beast` number, since 3 + 1 + 427 + 5 + 220 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388473292 + ... + 388474100.

It is an arithmetic number, because the mean of its divisors is an integer number (1816214400).

Almost surely, 2^314275220064 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 314275220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523069747200).

314275220064 is an abundant number, since it is smaller than the sum of its proper divisors (731864274336).

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

314275220064 is a wasteful number, since it uses less digits than its factorization.

314275220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 314275220064 its reverse (460022572413), we get a palindrome (774297792477).

The spelling of 314275220064 in words is "three hundred fourteen billion, two hundred seventy-five million, two hundred twenty thousand, sixty-four".