11004748128 has 240 divisors, whose sum is σ = 35640879120. Its totient is φ = 3303244800.

The previous prime is 11004748103. The next prime is 11004748133. The reversal of 11004748128 is 82184740011.

11004748128 is a `hidden beast` number, since 1 + 100 + 474 + 81 + 2 + 8 = 666.

11004748128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11004748128² (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 = 11004748092 and 11004748101.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3106038 + ... + 3109578.

It is an arithmetic number, because the mean of its divisors is an integer number (148503663).

Almost surely, 2^11004748128 is an apocalyptic number.

11004748128 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 11004748128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820439560).

11004748128 is an abundant number, since it is smaller than the sum of its proper divisors (24636130992).

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

11004748128 is a wasteful number, since it uses less digits than its factorization.

11004748128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3666 counting only the distinct ones).

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

The spelling of 11004748128 in words is "eleven billion, four million, seven hundred forty-eight thousand, one hundred twenty-eight".