11409475584 has 192 divisors, whose sum is σ = 32961539520. Its totient is φ = 3488808960.

The previous prime is 11409475559. The next prime is 11409475601. The reversal of 11409475584 is 48557490411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11409475584² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 16852654 + ... + 16853330.

It is an arithmetic number, because the mean of its divisors is an integer number (171674685).

Almost surely, 2^11409475584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11409475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480769760).

11409475584 is an abundant number, since it is smaller than the sum of its proper divisors (21552063936).

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

11409475584 is a wasteful number, since it uses less digits than its factorization.

11409475584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 11409475584 in words is "eleven billion, four hundred nine million, four hundred seventy-five thousand, five hundred eighty-four".