14458542898968 has 192 divisors, whose sum is σ = 46380488544000. Its totient is φ = 3981269650176.

The previous prime is 14458542898967. The next prime is 14458542898979. The reversal of 14458542898968 is 86989824585441.

14458542898968 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 8 + 542 + 8 + 9 + 8 + 9 + 68 = 666.

It is a super-2 number, since 2×14458542898968² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14458542898967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7090723 + ... + 8899181.

It is an arithmetic number, because the mean of its divisors is an integer number (241565044500).

Almost surely, 2^{14458542898968} is an apocalyptic number.

14458542898968 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 14458542898968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23190244272000).

14458542898968 is an abundant number, since it is smaller than the sum of its proper divisors (31921945645032).

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

14458542898968 is a wasteful number, since it uses less digits than its factorization.

14458542898968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809054 (or 1809047 counting only the distinct ones).

The product of its digits is 6370099200, while the sum is 81.

The spelling of 14458542898968 in words is "fourteen trillion, four hundred fifty-eight billion, five hundred forty-two million, eight hundred ninety-eight thousand, nine hundred sixty-eight".