314206341020 has 288 divisors, whose sum is σ = 814062348288. Its totient is φ = 101078208000.

The previous prime is 314206341011. The next prime is 314206341023. The reversal of 314206341020 is 20143602413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314206341023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104351315 + ... + 104354325.

It is an arithmetic number, because the mean of its divisors is an integer number (2826605376).

Almost surely, 2^314206341020 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 314206341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407031174144).

314206341020 is an abundant number, since it is smaller than the sum of its proper divisors (499856007268).

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

314206341020 is a wasteful number, since it uses less digits than its factorization.

314206341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 314206341020 its reverse (20143602413), we get a palindrome (334349943433).

The spelling of 314206341020 in words is "three hundred fourteen billion, two hundred six million, three hundred forty-one thousand, twenty".