1485161443584 has 1701 divisors, whose sum is σ = 5785171739109. Its totient is φ = 379055738880.

The previous prime is 1485161443561. The next prime is 1485161443609. The reversal of 1485161443584 is 4853441615841.

The square root of 1485161443584 is 1218672.

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

1485161443584 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 1 + 6 + 14 + 43 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219698438400 + 1265463005184 = 468720^2 + 1124928^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1485161443584.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 47908433649 + ... + 47908433679.

Almost surely, 2^{1485161443584} is an apocalyptic number.

1485161443584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1485161443584 is the 1218672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1485161443584

1485161443584 is an abundant number, since it is smaller than the sum of its proper divisors (4300010295525).

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

1485161443584 is an frugal number, since it uses more digits than its factorization.

1485161443584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 56 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 1485161443584 in words is "one trillion, four hundred eighty-five billion, one hundred sixty-one million, four hundred forty-three thousand, five hundred eighty-four".