14845248000 has 960 divisors, whose sum is σ = 61128587520. Its totient is φ = 3548160000.

The previous prime is 14845247999. The next prime is 14845248001. The reversal of 14845248000 is 84254841.

It is an interprime number because it is at equal distance from previous prime (14845247999) and next prime (14845248001).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14845248001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209087965 + ... + 209088035.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^14845248000 is an apocalyptic number.

14845248000 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 14845248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

14845248000 is an abundant number, since it is smaller than the sum of its proper divisors (46283339520).

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

14845248000 is an equidigital number, since it uses as much as digits as its factorization.

14845248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 14845248000 in words is "fourteen billion, eight hundred forty-five million, two hundred forty-eight thousand".