14479545600 has 648 divisors, whose sum is σ = 56842450392. Its totient is φ = 3494707200.

The previous prime is 14479545571. The next prime is 14479545623. The reversal of 14479545600 is 654597441.

14479545600 is a `hidden beast` number, since 1 + 4 + 47 + 9 + 545 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13481996544 + 997549056 = 116112^2 + 31584^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45676642 + ... + 45676958.

Almost surely, 2^14479545600 is an apocalyptic number.

14479545600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14479545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28421225196).

14479545600 is an abundant number, since it is smaller than the sum of its proper divisors (42362904792).

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

14479545600 is a wasteful number, since it uses less digits than its factorization.

14479545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 14479545600 in words is "fourteen billion, four hundred seventy-nine million, five hundred forty-five thousand, six hundred".