13456129248288 has 240 divisors, whose sum is σ = 40903076269440. Its totient is φ = 4337048738304.

The previous prime is 13456129248187. The next prime is 13456129248323. The reversal of 13456129248288 is 88284292165431.

13456129248288 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 61 + 2 + 92 + 482 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9445998 + ... + 10776786.

It is an arithmetic number, because the mean of its divisors is an integer number (170429484456).

Almost surely, 2^{13456129248288} is an apocalyptic number.

13456129248288 is a gapful number since it is divisible by the number (18) 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 13456129248288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20451538134720).

13456129248288 is an abundant number, since it is smaller than the sum of its proper divisors (27446947021152).

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

13456129248288 is a wasteful number, since it uses less digits than its factorization.

13456129248288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330941 (or 1330924 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 13456129248288 in words is "thirteen trillion, four hundred fifty-six billion, one hundred twenty-nine million, two hundred forty-eight thousand, two hundred eighty-eight".