14434523820 has 144 divisors (see below), whose sum is σ = 46183344480. Its totient is φ = 3639168000.

The previous prime is 14434523797. The next prime is 14434523821. The reversal of 14434523820 is 2832543441.

14434523820 is a `hidden beast` number, since 14 + 43 + 4 + 523 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14434523821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1777770 + ... + 1785870.

It is an arithmetic number, because the mean of its divisors is an integer number (320717670).

Almost surely, 2^14434523820 is an apocalyptic number.

14434523820 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 14434523820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091672240).

14434523820 is an abundant number, since it is smaller than the sum of its proper divisors (31748820660).

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

14434523820 is a wasteful number, since it uses less digits than its factorization.

14434523820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14434523820 in words is "fourteen billion, four hundred thirty-four million, five hundred twenty-three thousand, eight hundred twenty".