14157228096000 has 960 divisors, whose sum is σ = 55866013632000. Its totient is φ = 3417329664000.

The previous prime is 14157228095999. The next prime is 14157228096019. The reversal of 14157228096000 is 69082275141.

14157228096000 is a `hidden beast` number, since 1 + 4 + 15 + 7 + 2 + 28 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1514299326 + ... + 1514308674.

It is an arithmetic number, because the mean of its divisors is an integer number (58193764200).

Almost surely, 2^{14157228096000} is an apocalyptic number.

14157228096000 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 14157228096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933006816000).

14157228096000 is an abundant number, since it is smaller than the sum of its proper divisors (41708785536000).

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

14157228096000 is a wasteful number, since it uses less digits than its factorization.

14157228096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14157228096000 in words is "fourteen trillion, one hundred fifty-seven billion, two hundred twenty-eight million, ninety-six thousand".