11163528432 has 320 divisors, whose sum is σ = 38730854400. Its totient is φ = 3007445760.

The previous prime is 11163528419. The next prime is 11163528449. The reversal of 11163528432 is 23482536111.

11163528432 is a `hidden beast` number, since 1 + 11 + 635 + 2 + 8 + 4 + 3 + 2 = 666.

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

It is a congruent number.

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, 19017643 + ... + 19018229.

It is an arithmetic number, because the mean of its divisors is an integer number (121033920).

Almost surely, 2^11163528432 is an apocalyptic number.

11163528432 is a gapful number since it is divisible by the number (12) 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 11163528432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365427200).

11163528432 is an abundant number, since it is smaller than the sum of its proper divisors (27567325968).

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

11163528432 is a wasteful number, since it uses less digits than its factorization.

11163528432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11163528432 in words is "eleven billion, one hundred sixty-three million, five hundred twenty-eight thousand, four hundred thirty-two".