11574144000 has 704 divisors, whose sum is σ = 45523969920. Its totient is φ = 2890137600.

The previous prime is 11574143981. The next prime is 11574144037. The reversal of 11574144000 is 44147511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58751902 + ... + 58752098.

It is an arithmetic number, because the mean of its divisors is an integer number (64664730).

Almost surely, 2^11574144000 is an apocalyptic number.

11574144000 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 11574144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761984960).

11574144000 is an abundant number, since it is smaller than the sum of its proper divisors (33949825920).

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

11574144000 is a wasteful number, since it uses less digits than its factorization.

11574144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 11574144000 in words is "eleven billion, five hundred seventy-four million, one hundred forty-four thousand".