14657944900 has 27 divisors (see below), whose sum is σ = 31810367869. Its totient is φ = 5862693680.

The previous prime is 14657944883. The next prime is 14657944907. The reversal of 14657944900 is 944975641.

The square root of 14657944900 is 121070.

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., 5276860164 + 9381084736 = 72642^2 + 96856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14657944907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1204647 + ... + 1216753.

Almost surely, 2^14657944900 is an apocalyptic number.

14657944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14657944900 is the 121070-th square number.

It is an amenable number.

14657944900 is an abundant number, since it is smaller than the sum of its proper divisors (17152422969).

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

14657944900 is an frugal number, since it uses more digits than its factorization.

14657944900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24228 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 14657944900 by its sum of digits (49), we get a square (718239300100 = 847490²).

The spelling of 14657944900 in words is "fourteen billion, six hundred fifty-seven million, nine hundred forty-four thousand, nine hundred".