14753244960 has 288 divisors, whose sum is σ = 52893751680. Its totient is φ = 3840625152.

The previous prime is 14753244949. The next prime is 14753244991. The reversal of 14753244960 is 6944235741.

14753244960 is a `hidden beast` number, since 14 + 7 + 532 + 4 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7986757 + ... + 7988603.

It is an arithmetic number, because the mean of its divisors is an integer number (183658860).

Almost surely, 2^14753244960 is an apocalyptic number.

14753244960 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 14753244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26446875840).

14753244960 is an abundant number, since it is smaller than the sum of its proper divisors (38140506720).

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

14753244960 is a wasteful number, since it uses less digits than its factorization.

14753244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1900 counting only the distinct ones).

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

The spelling of 14753244960 in words is "fourteen billion, seven hundred fifty-three million, two hundred forty-four thousand, nine hundred sixty".