314676071424 has 1408 divisors, whose sum is σ = 1188504576000. Its totient is φ = 80820633600.

The previous prime is 314676071393. The next prime is 314676071471. The reversal of 314676071424 is 424170676413.

314676071424 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 7 + 607 + 14 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 314676071424.

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 127 ways as a sum of consecutive naturals, for example, 4432057309 + ... + 4432057379.

Almost surely, 2^314676071424 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 314676071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594252288000).

314676071424 is an abundant number, since it is smaller than the sum of its proper divisors (873828504576).

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

314676071424 is a wasteful number, since it uses less digits than its factorization.

314676071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 314676071424 in words is "three hundred fourteen billion, six hundred seventy-six million, seventy-one thousand, four hundred twenty-four".