11348512128 has 448 divisors, whose sum is σ = 36857271600. Its totient is φ = 3466727424.

The previous prime is 11348512121. The next prime is 11348512151. The reversal of 11348512128 is 82121584311.

It is a happy number.

11348512128 is a `hidden beast` number, since 1 + 13 + 4 + 8 + 512 + 128 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 11348512092 and 11348512101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11348512121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65598250 + ... + 65598422.

Almost surely, 2^11348512128 is an apocalyptic number.

11348512128 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 11348512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428635800).

11348512128 is an abundant number, since it is smaller than the sum of its proper divisors (25508759472).

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

11348512128 is an equidigital number, since it uses as much as digits as its factorization.

11348512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 11348512128 in words is "eleven billion, three hundred forty-eight million, five hundred twelve thousand, one hundred twenty-eight".