14106285504 has 168 divisors, whose sum is σ = 41949136320. Its totient is φ = 4528742400.

The previous prime is 14106285497. The next prime is 14106285509. The reversal of 14106285504 is 40558260141.

It is a happy number.

14106285504 is a `hidden beast` number, since 1 + 4 + 10 + 62 + 85 + 504 = 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 (14106285509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861884 + ... + 1869444.

It is an arithmetic number, because the mean of its divisors is an integer number (249697240).

Almost surely, 2^14106285504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974568160).

14106285504 is an abundant number, since it is smaller than the sum of its proper divisors (27842850816).

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

14106285504 is a wasteful number, since it uses less digits than its factorization.

14106285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14106285504 in words is "fourteen billion, one hundred six million, two hundred eighty-five thousand, five hundred four".