1443150521344 has 297 divisors, whose sum is σ = 3487801221441. Its totient is φ = 595081912320.

The previous prime is 1443150521303. The next prime is 1443150521347. The reversal of 1443150521344 is 4431250513441.

It is a happy number.

The square root of 1443150521344 is 1201312.

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

It can be written as a sum of positive squares in only one way, i.e., 1312765977600 + 130384543744 = 1145760^2 + 361088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1443150521347) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8341910442 + ... + 8341910614.

Almost surely, 2^{1443150521344} is an apocalyptic number.

1443150521344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1443150521344 is the 1201312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443150521344

1443150521344 is an abundant number, since it is smaller than the sum of its proper divisors (2044650700097).

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

1443150521344 is an frugal number, since it uses more digits than its factorization.

1443150521344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 1443150521344 in words is "one trillion, four hundred forty-three billion, one hundred fifty million, five hundred twenty-one thousand, three hundred forty-four".