14114429521920 has 4680 divisors, whose sum is σ = 68704472617704. Its totient is φ = 2745003147264.

The previous prime is 14114429521919. The next prime is 14114429521981. The reversal of 14114429521920 is 2912592441141.

14114429521920 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 429 + 5 + 219 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1696079056896 + 12418350465024 = 1302336^2 + 3523968^2 .

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 381471068142 + ... + 381471068178.

Almost surely, 2^{14114429521920} is an apocalyptic number.

14114429521920 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 14114429521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352236308852).

14114429521920 is an abundant number, since it is smaller than the sum of its proper divisors (54590043095784).

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

14114429521920 is a wasteful number, since it uses less digits than its factorization.

14114429521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14114429521920 in words is "fourteen trillion, one hundred fourteen billion, four hundred twenty-nine million, five hundred twenty-one thousand, nine hundred twenty".