14948478720 has 720 divisors, whose sum is σ = 62681794560. Its totient is φ = 3330367488.

The previous prime is 14948478689. The next prime is 14948478731. The reversal of 14948478720 is 2787484941.

14948478720 is a `hidden beast` number, since 1 + 494 + 84 + 7 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31207441 + ... + 31207919.

It is an arithmetic number, because the mean of its divisors is an integer number (87058048).

Almost surely, 2^14948478720 is an apocalyptic number.

14948478720 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 14948478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31340897280).

14948478720 is an abundant number, since it is smaller than the sum of its proper divisors (47733315840).

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

14948478720 is an equidigital number, since it uses as much as digits as its factorization.

14948478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 14948478720 in words is "fourteen billion, nine hundred forty-eight million, four hundred seventy-eight thousand, seven hundred twenty".