14844985600 has 81 divisors (see below), whose sum is σ = 36767800573. Its totient is φ = 5934095360.

The previous prime is 14844985577. The next prime is 14844985607. The reversal of 14844985600 is 658944841.

It is a happy number.

The square root of 14844985600 is 121840.

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

It can be written as a sum of positive squares in only one way, i.e., 5344194816 + 9500790784 = 73104^2 + 97472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14844985607) 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, 9746439 + ... + 9747961.

Almost surely, 2^14844985600 is an apocalyptic number.

14844985600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14844985600 is the 121840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14844985600

14844985600 is an abundant number, since it is smaller than the sum of its proper divisors (21922814973).

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

14844985600 is an frugal number, since it uses more digits than its factorization.

14844985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 14844985600 by its sum of digits (49), we get a square (727404294400 = 852880²).

The spelling of 14844985600 in words is "fourteen billion, eight hundred forty-four million, nine hundred eighty-five thousand, six hundred".