11134540032 has 216 divisors, whose sum is σ = 37228500288. Its totient is φ = 2891919360.

The previous prime is 11134539989. The next prime is 11134540049. The reversal of 11134540032 is 23004543111.

It is a happy number.

It is a super-2 number, since 2×11134540032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11134539984 and 11134540011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641938 + ... + 659054.

It is an arithmetic number, because the mean of its divisors is an integer number (172354168).

Almost surely, 2^11134540032 is an apocalyptic number.

11134540032 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 11134540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614250144).

11134540032 is an abundant number, since it is smaller than the sum of its proper divisors (26093960256).

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

11134540032 is a wasteful number, since it uses less digits than its factorization.

11134540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17165 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11134540032 in words is "eleven billion, one hundred thirty-four million, five hundred forty thousand, thirty-two".