14604855856900 has 27 divisors (see below), whose sum is σ = 31692620139061. Its totient is φ = 5841927056240.

The previous prime is 14604855856889. The next prime is 14604855856909. The reversal of 14604855856900 is 965855840641.

The square root of 14604855856900 is 3821630.

It is a perfect power (a square), and thus also a powerful number.

14604855856900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5257748108484 + 9347107748416 = 2292978^2 + 3057304^2 .

It is a super-2 number, since 2×14604855856900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14604855856909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38025219 + ... + 38407381.

Almost surely, 2^{14604855856900} is an apocalyptic number.

14604855856900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14604855856900 is the 3821630-th square number.

It is an amenable number.

14604855856900 is an abundant number, since it is smaller than the sum of its proper divisors (17087764282161).

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

14604855856900 is an frugal number, since it uses more digits than its factorization.

14604855856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764340 (or 382170 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 61.

The spelling of 14604855856900 in words is "fourteen trillion, six hundred four billion, eight hundred fifty-five million, eight hundred fifty-six thousand, nine hundred".