14038856358912 has 1584 divisors, whose sum is σ = 54757212007680. Its totient is φ = 3378594447360.

The previous prime is 14038856358893. The next prime is 14038856358913. The reversal of 14038856358912 is 21985365883041.

14038856358912 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 8 + 8 + 563 + 58 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 14038856358912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14038856358913) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8890978539 + ... + 8890980117.

Almost surely, 2^{14038856358912} is an apocalyptic number.

14038856358912 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 14038856358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27378606003840).

14038856358912 is an abundant number, since it is smaller than the sum of its proper divisors (40718355648768).

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

14038856358912 is a wasteful number, since it uses less digits than its factorization.

14038856358912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 14038856358912 in words is "fourteen trillion, thirty-eight billion, eight hundred fifty-six million, three hundred fifty-eight thousand, nine hundred twelve".