11032638408 has 96 divisors (see below), whose sum is σ = 32708370240. Its totient is φ = 3331743360.

The previous prime is 11032638377. The next prime is 11032638451. The reversal of 11032638408 is 80483623011.

11032638408 is a `hidden beast` number, since 1 + 10 + 3 + 2 + 638 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×11032638408² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208285 + ... + 255827.

It is an arithmetic number, because the mean of its divisors is an integer number (340712190).

Almost surely, 2^11032638408 is an apocalyptic number.

11032638408 is a gapful number since it is divisible by the number (18) 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 11032638408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354185120).

11032638408 is an abundant number, since it is smaller than the sum of its proper divisors (21675731832).

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

11032638408 is a wasteful number, since it uses less digits than its factorization.

11032638408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47859 (or 47852 counting only the distinct ones).

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

The spelling of 11032638408 in words is "eleven billion, thirty-two million, six hundred thirty-eight thousand, four hundred eight".