314736220134 has 384 divisors, whose sum is σ = 901498429440. Its totient is φ = 80791603200.

The previous prime is 314736219953. The next prime is 314736220153. The reversal of 314736220134 is 431022637413.

314736220134 is a `hidden beast` number, since 3 + 14 + 7 + 3 + 622 + 0 + 13 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86678499 + ... + 86682129.

It is an arithmetic number, because the mean of its divisors is an integer number (2347652160).

Almost surely, 2^314736220134 is an apocalyptic number.

314736220134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314736220134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450749214720).

314736220134 is an abundant number, since it is smaller than the sum of its proper divisors (586762209306).

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

314736220134 is a wasteful number, since it uses less digits than its factorization.

314736220134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 314736220134 its reverse (431022637413), we get a palindrome (745758857547).

The spelling of 314736220134 in words is "three hundred fourteen billion, seven hundred thirty-six million, two hundred twenty thousand, one hundred thirty-four".