314605216332 has 288 divisors, whose sum is σ = 931105191744. Its totient is φ = 88510464000.

The previous prime is 314605216279. The next prime is 314605216361. The reversal of 314605216332 is 233612506413.

314605216332 is a `hidden beast` number, since 3 + 1 + 4 + 605 + 2 + 16 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229136398 + ... + 229137770.

It is an arithmetic number, because the mean of its divisors is an integer number (3233004138).

Almost surely, 2^314605216332 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 314605216332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465552595872).

314605216332 is an abundant number, since it is smaller than the sum of its proper divisors (616499975412).

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

314605216332 is a wasteful number, since it uses less digits than its factorization.

314605216332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 314605216332 in words is "three hundred fourteen billion, six hundred five million, two hundred sixteen thousand, three hundred thirty-two".