14198529013760 has 960 divisors, whose sum is σ = 44212536426240. Its totient is φ = 4345610895360.

The previous prime is 14198529013759. The next prime is 14198529013817. The reversal of 14198529013760 is 6731092589141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 14198529013696 and 14198529013705.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 9908254004 + ... + 9908255436.

It is an arithmetic number, because the mean of its divisors is an integer number (46054725444).

It is a 1-persistent number, because it is pandigital, but 2⋅14198529013760 = 28397058027520 is not.

Almost surely, 2^{14198529013760} is an apocalyptic number.

14198529013760 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 14198529013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22106268213120).

14198529013760 is an abundant number, since it is smaller than the sum of its proper divisors (30014007412480).

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

14198529013760 is an equidigital number, since it uses as much as digits as its factorization.

14198529013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 14198529013760 in words is "fourteen trillion, one hundred ninety-eight billion, five hundred twenty-nine million, thirteen thousand, seven hundred sixty".