13722828468480 has 1152 divisors, whose sum is σ = 53055830016000. Its totient is φ = 3345974231040.

The previous prime is 13722828468473. The next prime is 13722828468487. The reversal of 13722828468480 is 8486482822731.

13722828468480 is a `hidden beast` number, since 1 + 3 + 72 + 2 + 8 + 2 + 84 + 6 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13722828468473) and next prime (13722828468487).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (13722828468487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10646103676 + ... + 10646104964.

It is an arithmetic number, because the mean of its divisors is an integer number (46055408000).

Almost surely, 2^{13722828468480} is an apocalyptic number.

13722828468480 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 13722828468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527915008000).

13722828468480 is an abundant number, since it is smaller than the sum of its proper divisors (39333001547520).

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

13722828468480 is a wasteful number, since it uses less digits than its factorization.

13722828468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 13722828468480 in words is "thirteen trillion, seven hundred twenty-two billion, eight hundred twenty-eight million, four hundred sixty-eight thousand, four hundred eighty".