14156403541344 has 384 divisors, whose sum is σ = 42885900288000. Its totient is φ = 4539939715584.

The previous prime is 14156403541339. The next prime is 14156403541349. The reversal of 14156403541344 is 44314530465141.

14156403541344 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 64 + 0 + 3 + 541 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (14156403541339) and next prime (14156403541349).

It is a super-2 number, since 2×14156403541344² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14156403541344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14156403541349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1288463019 + ... + 1288474005.

It is an arithmetic number, because the mean of its divisors is an integer number (111682032000).

Almost surely, 2^{14156403541344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14156403541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442950144000).

14156403541344 is an abundant number, since it is smaller than the sum of its proper divisors (28729496746656).

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

14156403541344 is a wasteful number, since it uses less digits than its factorization.

14156403541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11567 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 14156403541344 in words is "fourteen trillion, one hundred fifty-six billion, four hundred three million, five hundred forty-one thousand, three hundred forty-four".