314505050112 has 576 divisors, whose sum is σ = 1038338028000. Its totient is φ = 90832896000.

The previous prime is 314505050089. The next prime is 314505050113. The reversal of 314505050112 is 211050505413.

314505050112 is a `hidden beast` number, since 3 + 1 + 45 + 0 + 505 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314505050113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523302612 + ... + 523303212.

Almost surely, 2^314505050112 is an apocalyptic number.

314505050112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314505050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519169014000).

314505050112 is an abundant number, since it is smaller than the sum of its proper divisors (723832977888).

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

314505050112 is a wasteful number, since it uses less digits than its factorization.

314505050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 314505050112 its reverse (211050505413), we get a palindrome (525555555525).

The spelling of 314505050112 in words is "three hundred fourteen billion, five hundred five million, fifty thousand, one hundred twelve".