11115434952 has 160 divisors (see below), whose sum is σ = 32019736320. Its totient is φ = 3600806400.

The previous prime is 11115434947. The next prime is 11115434959. The reversal of 11115434952 is 25943451111.

11115434952 is a `hidden beast` number, since 1 + 11 + 154 + 3 + 495 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11115434959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4597648 + ... + 4600064.

It is an arithmetic number, because the mean of its divisors is an integer number (200123352).

Almost surely, 2^11115434952 is an apocalyptic number.

11115434952 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 11115434952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009868160).

11115434952 is an abundant number, since it is smaller than the sum of its proper divisors (20904301368).

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

11115434952 is a wasteful number, since it uses less digits than its factorization.

11115434952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2620 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 11115434952 in words is "eleven billion, one hundred fifteen million, four hundred thirty-four thousand, nine hundred fifty-two".