13148647481088 has 1512 divisors, whose sum is σ = 48517775964000. Its totient is φ = 3552777510912.

The previous prime is 13148647481087. The next prime is 13148647481129. The reversal of 13148647481088 is 88018474684131.

13148647481088 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 6 + 474 + 81 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13148647481087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23108343268 + ... + 23108343836.

Almost surely, 2^{13148647481088} is an apocalyptic number.

13148647481088 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 13148647481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258887982000).

13148647481088 is an abundant number, since it is smaller than the sum of its proper divisors (35369128482912).

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

13148647481088 is an frugal number, since it uses more digits than its factorization.

13148647481088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 13148647481088 in words is "thirteen trillion, one hundred forty-eight billion, six hundred forty-seven million, four hundred eighty-one thousand, eighty-eight".