314133325000 has 192 divisors, whose sum is σ = 805932167040. Its totient is φ = 113832000000.

The previous prime is 314133324971. The next prime is 314133325027. The reversal of 314133325000 is 523331413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85523164 + ... + 85526836.

It is an arithmetic number, because the mean of its divisors is an integer number (4197563370).

Almost surely, 2^314133325000 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 314133325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402966083520).

314133325000 is an abundant number, since it is smaller than the sum of its proper divisors (491798842040).

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

314133325000 is a wasteful number, since it uses less digits than its factorization.

314133325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 314133325000 its reverse (523331413), we get a palindrome (314656656413).

The spelling of 314133325000 in words is "three hundred fourteen billion, one hundred thirty-three million, three hundred twenty-five thousand".