314840460384 has 240 divisors, whose sum is σ = 952932446928. Its totient is φ = 101898943488.

The previous prime is 314840460307. The next prime is 314840460401. The reversal of 314840460384 is 483064048413.

314840460384 is a `hidden beast` number, since 3 + 148 + 40 + 460 + 3 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50154654 + ... + 50160930.

Almost surely, 2^314840460384 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 314840460384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476466223464).

314840460384 is an abundant number, since it is smaller than the sum of its proper divisors (638091986544).

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

314840460384 is a wasteful number, since it uses less digits than its factorization.

314840460384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 314840460384 in words is "three hundred fourteen billion, eight hundred forty million, four hundred sixty thousand, three hundred eighty-four".