14452117072848 has 1440 divisors, whose sum is σ = 52601705275392. Its totient is φ = 3670023168000.

The previous prime is 14452117072847. The next prime is 14452117072927. The reversal of 14452117072848 is 84827071125441.

It is a happy number.

14452117072848 is a `hidden beast` number, since 1 + 4 + 4 + 521 + 1 + 7 + 0 + 72 + 8 + 48 = 666.

It is a super-2 number, since 2×14452117072848² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14452117072794 and 14452117072803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14452117072847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 83538248890 + ... + 83538249062.

Almost surely, 2^{14452117072848} is an apocalyptic number.

14452117072848 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 14452117072848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26300852637696).

14452117072848 is an abundant number, since it is smaller than the sum of its proper divisors (38149588202544).

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

14452117072848 is a wasteful number, since it uses less digits than its factorization.

14452117072848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 14452117072848 in words is "fourteen trillion, four hundred fifty-two billion, one hundred seventeen million, seventy-two thousand, eight hundred forty-eight".