1143573584400 has 675 divisors, whose sum is σ = 4453932189861. Its totient is φ = 280879073280.

The previous prime is 1143573584383. The next prime is 1143573584411. The reversal of 1143573584400 is 44853753411.

The square root of 1143573584400 is 1069380.

It is a perfect power (a square), and thus also a powerful number.

1143573584400 is a `hidden beast` number, since 1 + 14 + 3 + 57 + 3 + 584 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 711640713744 + 431932870656 = 843588^2 + 657216^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2502348972 + ... + 2502349428.

Almost surely, 2^{1143573584400} is an apocalyptic number.

1143573584400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1143573584400 is the 1069380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143573584400

1143573584400 is an abundant number, since it is smaller than the sum of its proper divisors (3310358605461).

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

1143573584400 is an equidigital number, since it uses as much as digits as its factorization.

1143573584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1143573584400 in words is "one trillion, one hundred forty-three billion, five hundred seventy-three million, five hundred eighty-four thousand, four hundred".