314869121424 has 675 divisors, whose sum is σ = 1094725407699. Its totient is φ = 87267248640.

The previous prime is 314869121393. The next prime is 314869121431. The reversal of 314869121424 is 424121968413.

The square root of 314869121424 is 561132.

It is a perfect power (a square), and thus also a powerful number.

314869121424 is a `hidden beast` number, since 3 + 1 + 48 + 69 + 121 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11012403600 + 303856717824 = 104940^2 + 551232^2 .

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 314869121424.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2888707482 + ... + 2888707590.

Almost surely, 2^314869121424 is an apocalyptic number.

314869121424 is the 561132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314869121424

314869121424 is an abundant number, since it is smaller than the sum of its proper divisors (779856286275).

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

314869121424 is a wasteful number, since it uses less digits than its factorization.

314869121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 314869121424 in words is "three hundred fourteen billion, eight hundred sixty-nine million, one hundred twenty-one thousand, four hundred twenty-four".