314136227328 has 480 divisors, whose sum is σ = 1085337200640. Its totient is φ = 78951628800.

The previous prime is 314136227311. The next prime is 314136227351. The reversal of 314136227328 is 823722631413.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 314136227328.

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 47 ways as a sum of consecutive naturals, for example, 40326858 + ... + 40334646.

It is an arithmetic number, because the mean of its divisors is an integer number (2261119168).

Almost surely, 2^314136227328 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 314136227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542668600320).

314136227328 is an abundant number, since it is smaller than the sum of its proper divisors (771200973312).

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

314136227328 is a wasteful number, since it uses less digits than its factorization.

314136227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7843 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 314136227328 in words is "three hundred fourteen billion, one hundred thirty-six million, two hundred twenty-seven thousand, three hundred twenty-eight".