11409224832 has 96 divisors (see below), whose sum is σ = 33090170880. Its totient is φ = 3773081088.

The previous prime is 11409224777. The next prime is 11409224833. The reversal of 11409224832 is 23842290411.

11409224832 is a `hidden beast` number, since 1 + 1 + 409 + 2 + 248 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11409224832² (a number of 21 digits) contains 22 as substring.

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 (11409224833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107313 + ... + 185295.

It is an arithmetic number, because the mean of its divisors is an integer number (344689280).

Almost surely, 2^11409224832 is an apocalyptic number.

11409224832 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 11409224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545085440).

11409224832 is an abundant number, since it is smaller than the sum of its proper divisors (21680946048).

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

11409224832 is a wasteful number, since it uses less digits than its factorization.

11409224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78130 (or 78115 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11409224832 in words is "eleven billion, four hundred nine million, two hundred twenty-four thousand, eight hundred thirty-two".