11408398848 has 720 divisors, whose sum is σ = 43016413440. Its totient is φ = 2846638080.

The previous prime is 11408398847. The next prime is 11408398853. The reversal of 11408398848 is 84889380411.

11408398848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11408398794 and 11408398803.

It is not an unprimeable number, because it can be changed into a prime (11408398847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144410073 + ... + 144410151.

Almost surely, 2^11408398848 is an apocalyptic number.

11408398848 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 11408398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508206720).

11408398848 is an abundant number, since it is smaller than the sum of its proper divisors (31608014592).

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

11408398848 is a wasteful number, since it uses less digits than its factorization.

11408398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 11408398848 in words is "eleven billion, four hundred eight million, three hundred ninety-eight thousand, eight hundred forty-eight".