11450392128 has 504 divisors, whose sum is σ = 41196280320. Its totient is φ = 3023032320.

The previous prime is 11450392117. The next prime is 11450392133. The reversal of 11450392128 is 82129305411.

11450392128 is a `hidden beast` number, since 1 + 145 + 0 + 392 + 128 = 666.

11450392128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×11450392128² (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 a junction number, because it is equal to n+sod(n) for n = 11450392092 and 11450392101.

It is an unprimeable number.

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, 20123428 + ... + 20123996.

Almost surely, 2^11450392128 is an apocalyptic number.

11450392128 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 11450392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598140160).

11450392128 is an abundant number, since it is smaller than the sum of its proper divisors (29745888192).

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

11450392128 is a wasteful number, since it uses less digits than its factorization.

11450392128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 11450392128 its reverse (82129305411), we get a palindrome (93579697539).

The spelling of 11450392128 in words is "eleven billion, four hundred fifty million, three hundred ninety-two thousand, one hundred twenty-eight".