14814213120 has 726 divisors, whose sum is σ = 62007654402. Its totient is φ = 3386105856.

The previous prime is 14814213107. The next prime is 14814213149. The reversal of 14814213120 is 2131241841.

It can be written as a sum of positive squares in only one way, i.e., 11851370496 + 2962842624 = 108864^2 + 54432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 2116316157 + ... + 2116316163.

Almost surely, 2^14814213120 is an apocalyptic number.

14814213120 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 14814213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31003827201).

14814213120 is an abundant number, since it is smaller than the sum of its proper divisors (47193441282).

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

14814213120 is an frugal number, since it uses more digits than its factorization.

14814213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14814213120 its reverse (2131241841), we get a palindrome (16945454961).

The spelling of 14814213120 in words is "fourteen billion, eight hundred fourteen million, two hundred thirteen thousand, one hundred twenty".