1143564400 has 120 divisors (see below), whose sum is σ = 3155155200. Its totient is φ = 393926400.

The previous prime is 1143564361. The next prime is 1143564431. The reversal of 1143564400 is 44653411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76761 + ... + 90439.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^1143564400 is an apocalyptic number.

1143564400 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 1143564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577577600).

1143564400 is an abundant number, since it is smaller than the sum of its proper divisors (2011590800).

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

1143564400 is a wasteful number, since it uses less digits than its factorization.

1143564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1143564400 is about 33816.6290454859. The cubic root of 1143564400 is about 1045.7315451835.

The spelling of 1143564400 in words is "one billion, one hundred forty-three million, five hundred sixty-four thousand, four hundred".