11149146400 has 288 divisors, whose sum is σ = 32547916800. Its totient is φ = 3725568000.

The previous prime is 11149146383. The next prime is 11149146419. The reversal of 11149146400 is 464194111.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11249905 + ... + 11250895.

It is an arithmetic number, because the mean of its divisors is an integer number (113013600).

Almost surely, 2^11149146400 is an apocalyptic number.

11149146400 is a gapful number since it is divisible by the number (10) 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 11149146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273958400).

11149146400 is an abundant number, since it is smaller than the sum of its proper divisors (21398770400).

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

11149146400 is an equidigital number, since it uses as much as digits as its factorization.

11149146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 11149146400 in words is "eleven billion, one hundred forty-nine million, one hundred forty-six thousand, four hundred".