14844660480 has 1152 divisors, whose sum is σ = 62634700800. Its totient is φ = 3296526336.

The previous prime is 14844660421. The next prime is 14844660487. The reversal of 14844660480 is 8406644841.

14844660480 is a `hidden beast` number, since 148 + 4 + 466 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (14844660487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315843817 + ... + 315843863.

It is an arithmetic number, because the mean of its divisors is an integer number (54370400).

Almost surely, 2^14844660480 is an apocalyptic number.

14844660480 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 14844660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31317350400).

14844660480 is an abundant number, since it is smaller than the sum of its proper divisors (47790040320).

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

14844660480 is a wasteful number, since it uses less digits than its factorization.

14844660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 14844660480 in words is "fourteen billion, eight hundred forty-four million, six hundred sixty thousand, four hundred eighty".