1143361350144 has 600 divisors, whose sum is σ = 3796070590620. Its totient is φ = 342217654272.

The previous prime is 1143361350143. The next prime is 1143361350161. The reversal of 1143361350144 is 4410531633411.

1143361350144 is a `hidden beast` number, since 1 + 1 + 4 + 33 + 613 + 5 + 0 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 148379040000 + 994982310144 = 385200^2 + 997488^2 .

It is a super-2 number, since 2×1143361350144² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1143361350099 and 1143361350108.

It is not an unprimeable number, because it can be changed into a prime (1143361350143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 259322212 + ... + 259326620.

Almost surely, 2^{1143361350144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143361350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898035295310).

1143361350144 is an abundant number, since it is smaller than the sum of its proper divisors (2652709240476).

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

1143361350144 is an equidigital number, since it uses as much as digits as its factorization.

1143361350144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1143361350144 its reverse (4410531633411), we get a palindrome (5553892983555).

The spelling of 1143361350144 in words is "one trillion, one hundred forty-three billion, three hundred sixty-one million, three hundred fifty thousand, one hundred forty-four".