14068105386048 has 1680 divisors, whose sum is σ = 52945309359360. Its totient is φ = 3667974782976.

The previous prime is 14068105386047. The next prime is 14068105386061. The reversal of 14068105386048 is 84068350186041.

14068105386048 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 8 + 1 + 0 + 538 + 60 + 48 = 666.

It is a super-2 number, since 2×14068105386048² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14068105385985 and 14068105386003.

It is not an unprimeable number, because it can be changed into a prime (14068105386047) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44378881186 + ... + 44378881502.

Almost surely, 2^{14068105386048} is an apocalyptic number.

14068105386048 is a gapful number since it is divisible by the number (18) 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 14068105386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472654679680).

14068105386048 is an abundant number, since it is smaller than the sum of its proper divisors (38877203973312).

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

14068105386048 is a wasteful number, since it uses less digits than its factorization.

14068105386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14068105386048 in words is "fourteen trillion, sixty-eight billion, one hundred five million, three hundred eighty-six thousand, forty-eight".