314853848064 has 1320 divisors, whose sum is σ = 1202139364608. Its totient is φ = 81935400960.

The previous prime is 314853848053. The next prime is 314853848083. The reversal of 314853848064 is 460848358413.

It is a happy number.

314853848064 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 538 + 48 + 0 + 64 = 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 314853848064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10156575729 + ... + 10156575759.

Almost surely, 2^314853848064 is an apocalyptic number.

314853848064 is a gapful number since it is divisible by the number (34) 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 314853848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601069682304).

314853848064 is an abundant number, since it is smaller than the sum of its proper divisors (887285516544).

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

314853848064 is an frugal number, since it uses more digits than its factorization.

314853848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 314853848064 in words is "three hundred fourteen billion, eight hundred fifty-three million, eight hundred forty-eight thousand, sixty-four".