314085703680 has 1536 divisors, whose sum is σ = 1374033024000. Its totient is φ = 68669669376.

The previous prime is 314085703667. The next prime is 314085703691. The reversal of 314085703680 is 86307580413.

314085703680 is a `hidden beast` number, since 3 + 1 + 40 + 8 + 570 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13655900149 + ... + 13655900171.

It is an arithmetic number, because the mean of its divisors is an integer number (894552750).

Almost surely, 2^314085703680 is an apocalyptic number.

314085703680 is a gapful number since it is divisible by the number (30) 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 314085703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687016512000).

314085703680 is an abundant number, since it is smaller than the sum of its proper divisors (1059947320320).

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

314085703680 is an frugal number, since it uses more digits than its factorization.

314085703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 314085703680 in words is "three hundred fourteen billion, eighty-five million, seven hundred three thousand, six hundred eighty".