314116919424 has 384 divisors, whose sum is σ = 1149960240000. Its totient is φ = 81587681280.

The previous prime is 314116919407. The next prime is 314116919447. The reversal of 314116919424 is 424919611413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 314116919424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4310362 + ... + 4382630.

It is an arithmetic number, because the mean of its divisors is an integer number (2994688125).

Almost surely, 2^314116919424 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 314116919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574980120000).

314116919424 is an abundant number, since it is smaller than the sum of its proper divisors (835843320576).

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

314116919424 is a wasteful number, since it uses less digits than its factorization.

314116919424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72321 (or 72292 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 314116919424 in words is "three hundred fourteen billion, one hundred sixteen million, nine hundred nineteen thousand, four hundred twenty-four".