14084687164968 has 768 divisors, whose sum is σ = 50889478348800. Its totient is φ = 3552499814400.

The previous prime is 14084687164927. The next prime is 14084687164969. The reversal of 14084687164968 is 86946178648041.

14084687164968 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 4 + 68 + 71 + 6 + 496 + 8 = 666.

14084687164968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14084687164896 and 14084687164905.

It is not an unprimeable number, because it can be changed into a prime (14084687164969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443917921 + ... + 443949647.

It is an arithmetic number, because the mean of its divisors is an integer number (66262341600).

Almost surely, 2^{14084687164968} is an apocalyptic number.

14084687164968 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 14084687164968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444739174400).

14084687164968 is an abundant number, since it is smaller than the sum of its proper divisors (36804791183832).

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

14084687164968 is a wasteful number, since it uses less digits than its factorization.

14084687164968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 31876 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 14084687164968 in words is "fourteen trillion, eighty-four billion, six hundred eighty-seven million, one hundred sixty-four thousand, nine hundred sixty-eight".