13248610128 has 400 divisors, whose sum is σ = 43319008656. Its totient is φ = 3881779200.

The previous prime is 13248610117. The next prime is 13248610129. The reversal of 13248610128 is 82101684231.

13248610128 is a `hidden beast` number, since 1 + 3 + 24 + 8 + 610 + 12 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2927675664 + 10320934464 = 54108^2 + 101592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13248610092 and 13248610101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13248610129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33038728 + ... + 33039128.

Almost surely, 2^13248610128 is an apocalyptic number.

13248610128 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 13248610128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21659504328).

13248610128 is an abundant number, since it is smaller than the sum of its proper divisors (30070398528).

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

13248610128 is a wasteful number, since it uses less digits than its factorization.

13248610128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13248610128 in words is "thirteen billion, two hundred forty-eight million, six hundred ten thousand, one hundred twenty-eight".