11154544128 has 320 divisors, whose sum is σ = 40642398720. Its totient is φ = 2941526016.

The previous prime is 11154544123. The next prime is 11154544133. The reversal of 11154544128 is 82144545111.

It is an interprime number because it is at equal distance from previous prime (11154544123) and next prime (11154544133).

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 = 11154544092 and 11154544101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11154544123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253551 + ... + 1262417.

It is an arithmetic number, because the mean of its divisors is an integer number (127007496).

Almost surely, 2^11154544128 is an apocalyptic number.

11154544128 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 11154544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321199360).

11154544128 is an abundant number, since it is smaller than the sum of its proper divisors (29487854592).

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

11154544128 is an equidigital number, since it uses as much as digits as its factorization.

11154544128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8892 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The spelling of 11154544128 in words is "eleven billion, one hundred fifty-four million, five hundred forty-four thousand, one hundred twenty-eight".