1000144005184 has 63 divisors (see below), whose sum is σ = 2034915167271. Its totient is φ = 487715112960.

The previous prime is 1000144005181. The next prime is 1000144005197. The reversal of 1000144005184 is 4815004410001.

The square root of 1000144005184 is 1000072.

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

It can be written as a sum of positive squares in 4 ways, for example, as 721697822784 + 278446182400 = 849528^2 + 527680^2 .

It is a super-3 number, since 3×1000144005184³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000144005181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 328022092 + ... + 328025140.

Almost surely, 2^{1000144005184} is an apocalyptic number.

1000144005184 is the 1000072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000144005184

1000144005184 is an abundant number, since it is smaller than the sum of its proper divisors (1034771162087).

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

1000144005184 is an frugal number, since it uses more digits than its factorization.

1000144005184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 1000144005184 its reverse (4815004410001), we get a palindrome (5815148415185).

The spelling of 1000144005184 in words is "one trillion, one hundred forty-four million, five thousand, one hundred eighty-four".