14082004125504 has 420 divisors, whose sum is σ = 48571936887936. Its totient is φ = 4022335812096.

The previous prime is 14082004125457. The next prime is 14082004125547. The reversal of 14082004125504 is 40552140028041.

14082004125504 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 20 + 0 + 4 + 125 + 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1617315519 + ... + 1617324225.

Almost surely, 2^{14082004125504} is an apocalyptic number.

14082004125504 is a gapful number since it is divisible by the number (14) 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 14082004125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285968443968).

14082004125504 is an abundant number, since it is smaller than the sum of its proper divisors (34489932762432).

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

14082004125504 is an equidigital number, since it uses as much as digits as its factorization.

14082004125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15086 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 14082004125504 in words is "fourteen trillion, eighty-two billion, four million, one hundred twenty-five thousand, five hundred four".