11543144400 has 90 divisors (see below), whose sum is σ = 40057929990. Its totient is φ = 3078170880.

The previous prime is 11543144383. The next prime is 11543144419. The reversal of 11543144400 is 444134511.

11543144400 is a `hidden beast` number, since 115 + 4 + 3 + 144 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2405313936 + 9137830464 = 49044^2 + 95592^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1599615 + ... + 1606814.

It is an arithmetic number, because the mean of its divisors is an integer number (445088111).

Almost surely, 2^11543144400 is an apocalyptic number.

11543144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11543144400 is an abundant number, since it is smaller than the sum of its proper divisors (28514785590).

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

11543144400 is a wasteful number, since it uses less digits than its factorization.

11543144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206453 (or 3206439 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11543144400 its reverse (444134511), we get a palindrome (11987278911).

The spelling of 11543144400 in words is "eleven billion, five hundred forty-three million, one hundred forty-four thousand, four hundred".