14054066500032 has 1344 divisors, whose sum is σ = 49134875811840. Its totient is φ = 3799963238400.

The previous prime is 14054066500027. The next prime is 14054066500043. The reversal of 14054066500032 is 23000566045041.

14054066500032 is a `hidden beast` number, since 1 + 4 + 0 + 540 + 66 + 50 + 0 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14054066500032.

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, 11586204258 + ... + 11586205470.

It is an arithmetic number, because the mean of its divisors is an integer number (36558687360).

Almost surely, 2^{14054066500032} is an apocalyptic number.

14054066500032 is a gapful number since it is divisible by the number (12) 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 14054066500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24567437905920).

14054066500032 is an abundant number, since it is smaller than the sum of its proper divisors (35080809311808).

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

14054066500032 is a wasteful number, since it uses less digits than its factorization.

14054066500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 14054066500032 in words is "fourteen trillion, fifty-four billion, sixty-six million, five hundred thousand, thirty-two".