14048044866432 has 384 divisors, whose sum is σ = 43061036578560. Its totient is φ = 4556277153792.

The previous prime is 14048044866391. The next prime is 14048044866487. The reversal of 14048044866432 is 23466844084041.

14048044866432 is a `hidden beast` number, since 1 + 4 + 0 + 480 + 44 + 86 + 6 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351735168 + ... + 351775104.

It is an arithmetic number, because the mean of its divisors is an integer number (112138116090).

Almost surely, 2^{14048044866432} is an apocalyptic number.

14048044866432 is a gapful number since it is divisible by the number (12) 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 14048044866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530518289280).

14048044866432 is an abundant number, since it is smaller than the sum of its proper divisors (29012991712128).

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

14048044866432 is an equidigital number, since it uses as much as digits as its factorization.

14048044866432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40272 (or 40248 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 14048044866432 in words is "fourteen trillion, forty-eight billion, forty-four million, eight hundred sixty-six thousand, four hundred thirty-two".