11146984800 has 288 divisors, whose sum is σ = 41576838912. Its totient is φ = 2541127680.

The previous prime is 11146984781. The next prime is 11146984811. The reversal of 11146984800 is 848964111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9188994 + ... + 9190206.

It is an arithmetic number, because the mean of its divisors is an integer number (144364024).

Almost surely, 2^11146984800 is an apocalyptic number.

11146984800 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 11146984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20788419456).

11146984800 is an abundant number, since it is smaller than the sum of its proper divisors (30429854112).

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

11146984800 is a wasteful number, since it uses less digits than its factorization.

11146984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11146984800 in words is "eleven billion, one hundred forty-six million, nine hundred eighty-four thousand, eight hundred".