14810997468168 has 256 divisors, whose sum is σ = 45563527296000. Its totient is φ = 4420044288000.

The previous prime is 14810997468161. The next prime is 14810997468173. The reversal of 14810997468168 is 86186479901841.

14810997468168 is a `hidden beast` number, since 1 + 4 + 8 + 10 + 9 + 97 + 468 + 1 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 14810997468096 and 14810997468105.

It is not an unprimeable number, because it can be changed into a prime (14810997468161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764271103 + ... + 764290481.

It is an arithmetic number, because the mean of its divisors is an integer number (177982528500).

Almost surely, 2^{14810997468168} is an apocalyptic number.

14810997468168 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 14810997468168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781763648000).

14810997468168 is an abundant number, since it is smaller than the sum of its proper divisors (30752529827832).

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

14810997468168 is a wasteful number, since it uses less digits than its factorization.

14810997468168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24273 (or 24263 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 14810997468168 in words is "fourteen trillion, eight hundred ten billion, nine hundred ninety-seven million, four hundred sixty-eight thousand, one hundred sixty-eight".