14116081248 has 240 divisors, whose sum is σ = 42808572576. Its totient is φ = 4561090560.

The previous prime is 14116081241. The next prime is 14116081261. The reversal of 14116081248 is 84218061141.

14116081248 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 608 + 1 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116081241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11541565 + ... + 11542787.

Almost surely, 2^14116081248 is an apocalyptic number.

14116081248 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 14116081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21404286288).

14116081248 is an abundant number, since it is smaller than the sum of its proper divisors (28692491328).

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

14116081248 is a wasteful number, since it uses less digits than its factorization.

14116081248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 14116081248 in words is "fourteen billion, one hundred sixteen million, eighty-one thousand, two hundred forty-eight".