314413152012 has 288 divisors, whose sum is σ = 894531456000. Its totient is φ = 96264951552.

The previous prime is 314413151993. The next prime is 314413152013. The reversal of 314413152012 is 210251314413.

314413152012 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 131 + 520 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (314413152013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129015258 + ... + 129017694.

It is an arithmetic number, because the mean of its divisors is an integer number (3106012000).

Almost surely, 2^314413152012 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 314413152012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447265728000).

314413152012 is an abundant number, since it is smaller than the sum of its proper divisors (580118303988).

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

314413152012 is a wasteful number, since it uses less digits than its factorization.

314413152012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 314413152012 its reverse (210251314413), we get a palindrome (524664466425).

The spelling of 314413152012 in words is "three hundred fourteen billion, four hundred thirteen million, one hundred fifty-two thousand, twelve".