14868248984480 has 144 divisors (see below), whose sum is σ = 37318214256120. Its totient is φ = 5596831039488.

The previous prime is 14868248984419. The next prime is 14868248984509. The reversal of 14868248984480 is 8448984286841.

14868248984480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4245264643216 + 10622984341264 = 2060404^2 + 3259292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14868248984398 and 14868248984407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750419054 + ... + 750438866.

Almost surely, 2^{14868248984480} is an apocalyptic number.

14868248984480 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 14868248984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659107128060).

14868248984480 is an abundant number, since it is smaller than the sum of its proper divisors (22449965271640).

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

14868248984480 is a wasteful number, since it uses less digits than its factorization.

14868248984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36091 (or 36066 counting only the distinct ones).

The product of its (nonzero) digits is 905969664, while the sum is 74.

The spelling of 14868248984480 in words is "fourteen trillion, eight hundred sixty-eight billion, two hundred forty-eight million, nine hundred eighty-four thousand, four hundred eighty".