11135514432 has 112 divisors (see below), whose sum is σ = 33937326080. Its totient is φ = 3156475392.

The previous prime is 11135514427. The next prime is 11135514449. The reversal of 11135514432 is 23441553111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11135514432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138069 + ... + 203307.

It is an arithmetic number, because the mean of its divisors is an integer number (303011840).

Almost surely, 2^11135514432 is an apocalyptic number.

11135514432 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 11135514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968663040).

11135514432 is an abundant number, since it is smaller than the sum of its proper divisors (22801811648).

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

11135514432 is a wasteful number, since it uses less digits than its factorization.

11135514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65388 (or 65378 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The spelling of 11135514432 in words is "eleven billion, one hundred thirty-five million, five hundred fourteen thousand, four hundred thirty-two".