14479308900 has 405 divisors, whose sum is σ = 54886608777. Its totient is φ = 3292228800.

The previous prime is 14479308839. The next prime is 14479308917. The reversal of 14479308900 is 980397441.

The square root of 14479308900 is 120330.

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., 5212551204 + 9266757696 = 72198^2 + 96264^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 75807805 + ... + 75807995.

Almost surely, 2^14479308900 is an apocalyptic number.

14479308900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14479308900 is the 120330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14479308900

14479308900 is an abundant number, since it is smaller than the sum of its proper divisors (40407299877).

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

14479308900 is a wasteful number, since it uses less digits than its factorization.

14479308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14479308900 in words is "fourteen billion, four hundred seventy-nine million, three hundred eight thousand, nine hundred".