14148337042944 has 320 divisors, whose sum is σ = 46656848145600. Its totient is φ = 4203217944576.

The previous prime is 14148337042943. The next prime is 14148337042997. The reversal of 14148337042944 is 44924073384141.

14148337042944 is a `hidden beast` number, since 1 + 4 + 1 + 483 + 3 + 70 + 4 + 2 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14148337042943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3854272 + ... + 6569024.

It is an arithmetic number, because the mean of its divisors is an integer number (145802650455).

Almost surely, 2^{14148337042944} 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 14148337042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328424072800).

14148337042944 is an abundant number, since it is smaller than the sum of its proper divisors (32508511102656).

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

14148337042944 is a wasteful number, since it uses less digits than its factorization.

14148337042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714822 (or 2714800 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 14148337042944 in words is "fourteen trillion, one hundred forty-eight billion, three hundred thirty-seven million, forty-two thousand, nine hundred forty-four".