14521740480 has 224 divisors, whose sum is σ = 55170628800. Its totient is φ = 3574554624.

The previous prime is 14521740473. The next prime is 14521740521. The reversal of 14521740480 is 8404712541.

It is a happy number.

14521740480 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 174 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47676 + ... + 176964.

It is an arithmetic number, because the mean of its divisors is an integer number (246297450).

Almost surely, 2^14521740480 is an apocalyptic number.

14521740480 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 14521740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585314400).

14521740480 is an abundant number, since it is smaller than the sum of its proper divisors (40648888320).

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

14521740480 is a wasteful number, since it uses less digits than its factorization.

14521740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129328 (or 129312 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 14521740480 in words is "fourteen billion, five hundred twenty-one million, seven hundred forty thousand, four hundred eighty".