1029989533456 has 135 divisors (see below), whose sum is σ = 2241335432349. Its totient is φ = 458305376256.

The previous prime is 1029989533453. The next prime is 1029989533471. The reversal of 1029989533456 is 6543359899201.

The square root of 1029989533456 is 1014884.

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

It can be written as a sum of positive squares in 13 ways, for example, as 970453533456 + 59536000000 = 985116^2 + 244000^2 .

It is not an unprimeable number, because it can be changed into a prime (1029989533453) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1530444736 + ... + 1530445408.

Almost surely, 2^{1029989533456} is an apocalyptic number.

1029989533456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1029989533456 is the 1014884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029989533456

1029989533456 is an abundant number, since it is smaller than the sum of its proper divisors (1211345898893).

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

1029989533456 is an frugal number, since it uses more digits than its factorization.

1029989533456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 64.

Multiplying 1029989533456 by its sum of digits (64), we get a square (65919330141184 = 8119072²).

The spelling of 1029989533456 in words is "one trillion, twenty-nine billion, nine hundred eighty-nine million, five hundred thirty-three thousand, four hundred fifty-six".