14719380480 has 1056 divisors, whose sum is σ = 63510713280. Its totient is φ = 3220439040.

The previous prime is 14719380469. The next prime is 14719380493. The reversal of 14719380480 is 8408391741.

It is a happy number.

14719380480 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 93 + 80 + 480 = 666.

14719380480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277724134 + ... + 277724186.

Almost surely, 2^14719380480 is an apocalyptic number.

14719380480 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 14719380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31755356640).

14719380480 is an abundant number, since it is smaller than the sum of its proper divisors (48791332800).

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

14719380480 is a wasteful number, since it uses less digits than its factorization.

14719380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14719380480 in words is "fourteen billion, seven hundred nineteen million, three hundred eighty thousand, four hundred eighty".