13228651176480 has 288 divisors, whose sum is σ = 46078644830400. Its totient is φ = 3454952196096.

The previous prime is 13228651176467. The next prime is 13228651176493. The reversal of 13228651176480 is 8467115682231.

It is a happy number.

13228651176480 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 86 + 5 + 11 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13228651176467) and next prime (13228651176493).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22564827 + ... + 23143653.

It is an arithmetic number, because the mean of its divisors is an integer number (159995294550).

Almost surely, 2^{13228651176480} is an apocalyptic number.

13228651176480 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 13228651176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23039322415200).

13228651176480 is an abundant number, since it is smaller than the sum of its proper divisors (32849993653920).

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

13228651176480 is a wasteful number, since it uses less digits than its factorization.

13228651176480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579176 (or 579165 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 13228651176480 in words is "thirteen trillion, two hundred twenty-eight billion, six hundred fifty-one million, one hundred seventy-six thousand, four hundred eighty".