11408047128 has 96 divisors (see below), whose sum is σ = 32113732560. Its totient is φ = 3794065920.

The previous prime is 11408047121. The next prime is 11408047139. The reversal of 11408047128 is 82174080411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11408047092 and 11408047101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408047121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881988 + ... + 894828.

Almost surely, 2^11408047128 is an apocalyptic number.

11408047128 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 11408047128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056866280).

11408047128 is an abundant number, since it is smaller than the sum of its proper divisors (20705685432).

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

11408047128 is a wasteful number, since it uses less digits than its factorization.

11408047128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13319 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11408047128 in words is "eleven billion, four hundred eight million, forty-seven thousand, one hundred twenty-eight".