314232142200 has 384 divisors, whose sum is σ = 1057372800000. Its totient is φ = 76926412800.

The previous prime is 314232142193. The next prime is 314232142223. The reversal of 314232142200 is 2241232413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114306426 + ... + 114309174.

It is an arithmetic number, because the mean of its divisors is an integer number (2753575000).

Almost surely, 2^314232142200 is an apocalyptic number.

314232142200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314232142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528686400000).

314232142200 is an abundant number, since it is smaller than the sum of its proper divisors (743140657800).

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

314232142200 is a wasteful number, since it uses less digits than its factorization.

314232142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 314232142200 its reverse (2241232413), we get a palindrome (316473374613).

The spelling of 314232142200 in words is "three hundred fourteen billion, two hundred thirty-two million, one hundred forty-two thousand, two hundred".