14248161607680 has 3072 divisors, whose sum is σ = 68014634688000. Its totient is φ = 2719041454080.

The previous prime is 14248161607663. The next prime is 14248161607711. The reversal of 14248161607680 is 8670616184241.

14248161607680 is a `hidden beast` number, since 1 + 4 + 2 + 481 + 6 + 16 + 0 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72325693342 + ... + 72325693538.

Almost surely, 2^{14248161607680} is an apocalyptic number.

14248161607680 is a gapful number since it is divisible by the number (10) 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 14248161607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34007317344000).

14248161607680 is an abundant number, since it is smaller than the sum of its proper divisors (53766473080320).

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

14248161607680 is a wasteful number, since it uses less digits than its factorization.

14248161607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

It can be divided in two parts, 14248161 and 607680, that added together give a palindrome (14855841).

The spelling of 14248161607680 in words is "fourteen trillion, two hundred forty-eight billion, one hundred sixty-one million, six hundred seven thousand, six hundred eighty".