14748480000 has 500 divisors, whose sum is σ = 55104478110. Its totient is φ = 3926016000.

The previous prime is 14748479981. The next prime is 14748480007. The reversal of 14748480000 is 8484741.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 82301184 + 14666178816 = 9072^2 + 121104^2 .

It is a tau number, because it is divible by the number of its divisors (500).

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

It is not an unprimeable number, because it can be changed into a prime (14748480007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919716 + ... + 25920284.

Almost surely, 2^14748480000 is an apocalyptic number.

14748480000 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 14748480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27552239055).

14748480000 is an abundant number, since it is smaller than the sum of its proper divisors (40355998110).

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

14748480000 is an frugal number, since it uses more digits than its factorization.

14748480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14748480000 in words is "fourteen billion, seven hundred forty-eight million, four hundred eighty thousand".