14948248800 has 144 divisors (see below), whose sum is σ = 48761879040. Its totient is φ = 3977571840.

The previous prime is 14948248771. The next prime is 14948248811. The reversal of 14948248800 is 884284941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14948248800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1143099 + ... + 1156101.

It is an arithmetic number, because the mean of its divisors is an integer number (338624160).

Almost surely, 2^14948248800 is an apocalyptic number.

14948248800 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 14948248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24380939520).

14948248800 is an abundant number, since it is smaller than the sum of its proper divisors (33813630240).

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

14948248800 is a wasteful number, since it uses less digits than its factorization.

14948248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 14948248800 in words is "fourteen billion, nine hundred forty-eight million, two hundred forty-eight thousand, eight hundred".