14213534720 has 352 divisors, whose sum is σ = 43918073856. Its totient is φ = 4283596800.

The previous prime is 14213534683. The next prime is 14213534729. The reversal of 14213534720 is 2743531241.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213534729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12220859 + ... + 12222021.

Almost surely, 2^14213534720 is an apocalyptic number.

14213534720 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 14213534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959036928).

14213534720 is an abundant number, since it is smaller than the sum of its proper divisors (29704539136).

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

14213534720 is a wasteful number, since it uses less digits than its factorization.

14213534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 14213534720 in words is "fourteen billion, two hundred thirteen million, five hundred thirty-four thousand, seven hundred twenty".