14679745600 has 189 divisors, whose sum is σ = 39282240333. Its totient is φ = 5396951040.

The previous prime is 14679745579. The next prime is 14679745609. The reversal of 14679745600 is 654797641.

The square root of 14679745600 is 121160.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14617777216 + 61968384 = 120904^2 + 7872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14679745609) 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, 63003084 + ... + 63003316.

Almost surely, 2^14679745600 is an apocalyptic number.

14679745600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14679745600 is the 121160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14679745600

14679745600 is an abundant number, since it is smaller than the sum of its proper divisors (24602494733).

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

14679745600 is an equidigital number, since it uses as much as digits as its factorization.

14679745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 14679745600 by its sum of digits (49), we get a square (719307534400 = 848120²).

The spelling of 14679745600 in words is "fourteen billion, six hundred seventy-nine million, seven hundred forty-five thousand, six hundred".