14088116182140 has 1536 divisors, whose sum is σ = 62134345728000. Its totient is φ = 2552195174400.

The previous prime is 14088116182079. The next prime is 14088116182223. The reversal of 14088116182140 is 4128161188041.

14088116182140 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 8 + 1 + 1 + 618 + 21 + 4 + 0 = 666.

It is a super-2 number, since 2×14088116182140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 3687021430 + ... + 3687025250.

It is an arithmetic number, because the mean of its divisors is an integer number (40452048000).

Almost surely, 2^{14088116182140} is an apocalyptic number.

14088116182140 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 14088116182140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31067172864000).

14088116182140 is an abundant number, since it is smaller than the sum of its proper divisors (48046229545860).

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

14088116182140 is a wasteful number, since it uses less digits than its factorization.

14088116182140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 14088116182140 in words is "fourteen trillion, eighty-eight billion, one hundred sixteen million, one hundred eighty-two thousand, one hundred forty".