314241532000 has 384 divisors, whose sum is σ = 938808299520. Its totient is φ = 101882880000.

The previous prime is 314241531991. The next prime is 314241532001. The reversal of 314241532000 is 235142413.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314241532001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14200945 + ... + 14223055.

It is an arithmetic number, because the mean of its divisors is an integer number (2444813280).

Almost surely, 2^314241532000 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 314241532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469404149760).

314241532000 is an abundant number, since it is smaller than the sum of its proper divisors (624566767520).

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

314241532000 is a wasteful number, since it uses less digits than its factorization.

314241532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22183 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 314241532000 its reverse (235142413), we get a palindrome (314476674413).

The spelling of 314241532000 in words is "three hundred fourteen billion, two hundred forty-one million, five hundred thirty-two thousand".