314424331052000 has 192 divisors, whose sum is σ = 839329333524864. Its totient is φ = 115067744870400.

The previous prime is 314424331051993. The next prime is 314424331052009. The reversal of 314424331052000 is 250133424413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314424331052009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20878964 + ... + 32630963.

It is an arithmetic number, because the mean of its divisors is an integer number (4371506945442).

Almost surely, 2^{314424331052000} is an apocalyptic number.

It is an amenable number.

314424331052000 is an abundant number, since it is smaller than the sum of its proper divisors (524905002472864).

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

314424331052000 is a wasteful number, since it uses less digits than its factorization.

314424331052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53510078 (or 53510060 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 314424331052000 its reverse (250133424413), we get a palindrome (314674464476413).

The spelling of 314424331052000 in words is "three hundred fourteen trillion, four hundred twenty-four billion, three hundred thirty-one million, fifty-two thousand".