13376256133248 has 192 divisors, whose sum is σ = 39922061699520. Its totient is φ = 4458207237120.

The previous prime is 13376256133187. The next prime is 13376256133271. The reversal of 13376256133248 is 84233165267331.

13376256133248 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 6 + 2 + 561 + 3 + 32 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13376256133194 and 13376256133203.

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, 315404461 + ... + 315446867.

It is an arithmetic number, because the mean of its divisors is an integer number (207927404685).

Almost surely, 2^{13376256133248} is an apocalyptic number.

13376256133248 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 13376256133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19961030849760).

13376256133248 is an abundant number, since it is smaller than the sum of its proper divisors (26545805566272).

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

13376256133248 is an equidigital number, since it uses as much as digits as its factorization.

13376256133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52577 (or 52553 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 13376256133248 in words is "thirteen trillion, three hundred seventy-six billion, two hundred fifty-six million, one hundred thirty-three thousand, two hundred forty-eight".