14254479360 has 768 divisors, whose sum is σ = 57081024000. Its totient is φ = 3344302080.

The previous prime is 14254479353. The next prime is 14254479361. The reversal of 14254479360 is 6397445241.

14254479360 is a `hidden beast` number, since 1 + 4 + 2 + 544 + 79 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14254479361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130774986 + ... + 130775094.

It is an arithmetic number, because the mean of its divisors is an integer number (74324250).

Almost surely, 2^14254479360 is an apocalyptic number.

14254479360 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 14254479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512000).

14254479360 is an abundant number, since it is smaller than the sum of its proper divisors (42826544640).

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

14254479360 is a wasteful number, since it uses less digits than its factorization.

14254479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 14254479360 in words is "fourteen billion, two hundred fifty-four million, four hundred seventy-nine thousand, three hundred sixty".