314305744896 has 624 divisors, whose sum is σ = 1078357600320. Its totient is φ = 86951854080.

The previous prime is 314305744891. The next prime is 314305744919. The reversal of 314305744896 is 698447503413.

314305744896 is a `hidden beast` number, since 3 + 143 + 0 + 57 + 448 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (314305744891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574598895 + ... + 574599441.

It is an arithmetic number, because the mean of its divisors is an integer number (1728137180).

Almost surely, 2^314305744896 is an apocalyptic number.

314305744896 is a gapful number since it is divisible by the number (36) 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 314305744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539178800160).

314305744896 is an abundant number, since it is smaller than the sum of its proper divisors (764051855424).

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

314305744896 is a wasteful number, since it uses less digits than its factorization.

314305744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 314305744896 in words is "three hundred fourteen billion, three hundred five million, seven hundred forty-four thousand, eight hundred ninety-six".