13224378726468 has 288 divisors, whose sum is σ = 45211555670400. Its totient is φ = 3304182212352.

The previous prime is 13224378726443. The next prime is 13224378726511. The reversal of 13224378726468 is 86462787342231.

13224378726468 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 437 + 87 + 2 + 64 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3751455 + ... + 6365702.

It is an arithmetic number, because the mean of its divisors is an integer number (156984568300).

Almost surely, 2^{13224378726468} is an apocalyptic number.

13224378726468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13224378726468 is an abundant number, since it is smaller than the sum of its proper divisors (31987176943932).

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

13224378726468 is a wasteful number, since it uses less digits than its factorization.

13224378726468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117216 (or 10117201 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 13224378726468 in words is "thirteen trillion, two hundred twenty-four billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred sixty-eight".