314242014432 has 192 divisors, whose sum is σ = 854333415936. Its totient is φ = 101072240640.

The previous prime is 314242014431. The next prime is 314242014433. The reversal of 314242014432 is 234410242413.

It is an interprime number because it is at equal distance from previous prime (314242014431) and next prime (314242014433).

It is a self number, because there is not a number n which added to its sum of digits gives 314242014432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314242014431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272542368 + ... + 272543520.

It is an arithmetic number, because the mean of its divisors is an integer number (4449653208).

Almost surely, 2^314242014432 is an apocalyptic number.

314242014432 is a gapful number since it is divisible by the number (32) 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 314242014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427166707968).

314242014432 is an abundant number, since it is smaller than the sum of its proper divisors (540091401504).

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

314242014432 is a wasteful number, since it uses less digits than its factorization.

314242014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 314242014432 its reverse (234410242413), we get a palindrome (548652256845).

The spelling of 314242014432 in words is "three hundred fourteen billion, two hundred forty-two million, fourteen thousand, four hundred thirty-two".