11512528857348 has 192 divisors, whose sum is σ = 29304621884160. Its totient is φ = 3504085401600.

The previous prime is 11512528857337. The next prime is 11512528857353. The reversal of 11512528857348 is 84375882521511.

It is a junction number, because it is equal to n+sod(n) for n = 11512528857291 and 11512528857300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662049438 + ... + 662066826.

It is an arithmetic number, because the mean of its divisors is an integer number (152628238980).

Almost surely, 2^{11512528857348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11512528857348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652310942080).

11512528857348 is an abundant number, since it is smaller than the sum of its proper divisors (17792093026812).

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

11512528857348 is a wasteful number, since it uses less digits than its factorization.

11512528857348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18198 (or 18196 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 60.

The spelling of 11512528857348 in words is "eleven trillion, five hundred twelve billion, five hundred twenty-eight million, eight hundred fifty-seven thousand, three hundred forty-eight".