314050924000 has 384 divisors, whose sum is σ = 924655979520. Its totient is φ = 103479552000.

The previous prime is 314050923997. The next prime is 314050924013. The reversal of 314050924000 is 429050413.

It is a self number, because there is not a number n which added to its sum of digits gives 314050924000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19219834 + ... + 19236166.

It is an arithmetic number, because the mean of its divisors is an integer number (2407958280).

Almost surely, 2^314050924000 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 314050924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462327989760).

314050924000 is an abundant number, since it is smaller than the sum of its proper divisors (610605055520).

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

314050924000 is a wasteful number, since it uses less digits than its factorization.

314050924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 314050924000 its reverse (429050413), we get a palindrome (314479974413).

The spelling of 314050924000 in words is "three hundred fourteen billion, fifty million, nine hundred twenty-four thousand".