14052096000 has 768 divisors, whose sum is σ = 55194048000. Its totient is φ = 3516825600.

The previous prime is 14052095971. The next prime is 14052096013. The reversal of 14052096000 is 69025041.

14052096000 is a `hidden beast` number, since 1 + 4 + 0 + 52 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×14052096000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131327947 + ... + 131328053.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^14052096000 is an apocalyptic number.

14052096000 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 14052096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024000).

14052096000 is an abundant number, since it is smaller than the sum of its proper divisors (41141952000).

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

14052096000 is a wasteful number, since it uses less digits than its factorization.

14052096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 14052096000 in words is "fourteen billion, fifty-two million, ninety-six thousand".