314210114300 has 72 divisors (see below), whose sum is σ = 722694307104. Its totient is φ = 118167920640.

The previous prime is 314210114297. The next prime is 314210114311. The reversal of 314210114300 is 3411012413.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 1548332 + ... + 1739468.

It is an arithmetic number, because the mean of its divisors is an integer number (10037420932).

Almost surely, 2^314210114300 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 314210114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361347153552).

314210114300 is an abundant number, since it is smaller than the sum of its proper divisors (408484192804).

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

314210114300 is a wasteful number, since it uses less digits than its factorization.

314210114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192135 (or 192128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 314210114300 its reverse (3411012413), we get a palindrome (317621126713).

The spelling of 314210114300 in words is "three hundred fourteen billion, two hundred ten million, one hundred fourteen thousand, three hundred".