314500859120000 has 480 divisors, whose sum is σ = 911391426887040. Its totient is φ = 107753587200000.

The previous prime is 314500859119961. The next prime is 314500859120009. The reversal of 314500859120000 is 21958005413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314500859120009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5766292730 + ... + 5766347270.

It is an arithmetic number, because the mean of its divisors is an integer number (1898732139348).

Almost surely, 2^{314500859120000} 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 314500859120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455695713443520).

314500859120000 is an abundant number, since it is smaller than the sum of its proper divisors (596890567767040).

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

314500859120000 is an equidigital number, since it uses as much as digits as its factorization.

314500859120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56060 (or 56026 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 314500859120000 in words is "three hundred fourteen trillion, five hundred billion, eight hundred fifty-nine million, one hundred twenty thousand".