14222947600 has 135 divisors (see below), whose sum is σ = 35082388047. Its totient is φ = 5541296640.

The previous prime is 14222947579. The next prime is 14222947603. The reversal of 14222947600 is 674922241.

The square root of 14222947600 is 119260.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2959795216 + 11263152384 = 54404^2 + 106128^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14222947600.

It is not an unprimeable number, because it can be changed into a prime (14222947603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159808356 + ... + 159808444.

Almost surely, 2^14222947600 is an apocalyptic number.

14222947600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14222947600 is the 119260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222947600

14222947600 is an abundant number, since it is smaller than the sum of its proper divisors (20859440447).

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

14222947600 is an frugal number, since it uses more digits than its factorization.

14222947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 14222947600 in words is "fourteen billion, two hundred twenty-two million, nine hundred forty-seven thousand, six hundred".