14830271218320 has 160 divisors (see below), whose sum is σ = 46726405925760. Its totient is φ = 3890453360640.

The previous prime is 14830271218307. The next prime is 14830271218333. The reversal of 14830271218320 is 2381217203841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14830271218307) and next prime (14830271218333).

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 31 ways as a sum of consecutive naturals, for example, 2445735 + ... + 5970105.

It is an arithmetic number, because the mean of its divisors is an integer number (292040037036).

Almost surely, 2^{14830271218320} is an apocalyptic number.

14830271218320 is a gapful number since it is divisible by the number (10) 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 14830271218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363202962880).

14830271218320 is an abundant number, since it is smaller than the sum of its proper divisors (31896134707440).

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

14830271218320 is a wasteful number, since it uses less digits than its factorization.

14830271218320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524673 (or 3524667 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14830271218320 in words is "fourteen trillion, eight hundred thirty billion, two hundred seventy-one million, two hundred eighteen thousand, three hundred twenty".