1144531745280 has 1920 divisors, whose sum is σ = 5330950225920. Its totient is φ = 229920768000.

The previous prime is 1144531745263. The next prime is 1144531745293. The reversal of 1144531745280 is 825471354411.

1144531745280 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 53 + 1 + 74 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1154925585 + ... + 1154926575.

It is an arithmetic number, because the mean of its divisors is an integer number (2776536576).

Almost surely, 2^{1144531745280} is an apocalyptic number.

1144531745280 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 1144531745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665475112960).

1144531745280 is an abundant number, since it is smaller than the sum of its proper divisors (4186418480640).

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

1144531745280 is a wasteful number, since it uses less digits than its factorization.

1144531745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1144531745280 in words is "one trillion, one hundred forty-four billion, five hundred thirty-one million, seven hundred forty-five thousand, two hundred eighty".