14046248790144 has 256 divisors, whose sum is σ = 44915338512000. Its totient is φ = 4304184901632.

The previous prime is 14046248790097. The next prime is 14046248790191. The reversal of 14046248790144 is 44109784264041.

14046248790144 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 62 + 487 + 90 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14046248790097) and next prime (14046248790191).

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

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 31 ways as a sum of consecutive naturals, for example, 253629 + ... + 5306300.

Almost surely, 2^{14046248790144} 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 14046248790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457669256000).

14046248790144 is an abundant number, since it is smaller than the sum of its proper divisors (30869089721856).

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

14046248790144 is a wasteful number, since it uses less digits than its factorization.

14046248790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560012 (or 5559994 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 14046248790144 in words is "fourteen trillion, forty-six billion, two hundred forty-eight million, seven hundred ninety thousand, one hundred forty-four".