11513538661248 has 1536 divisors, whose sum is σ = 39296275200000. Its totient is φ = 3332119265280.

The previous prime is 11513538661223. The next prime is 11513538661253. The reversal of 11513538661248 is 84216683531511.

11513538661248 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 538 + 6 + 61 + 2 + 48 = 666.

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 = 11513538661194 and 11513538661203.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 77272071478 + ... + 77272071626.

It is an arithmetic number, because the mean of its divisors is an integer number (25583512500).

Almost surely, 2^{11513538661248} is an apocalyptic number.

11513538661248 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 11513538661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648137600000).

11513538661248 is an abundant number, since it is smaller than the sum of its proper divisors (27782736538752).

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

11513538661248 is a wasteful number, since it uses less digits than its factorization.

11513538661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 11513538661248 in words is "eleven trillion, five hundred thirteen billion, five hundred thirty-eight million, six hundred sixty-one thousand, two hundred forty-eight".