1006281834496 has 135 divisors (see below), whose sum is σ = 2142495886027. Its totient is φ = 472517181440.

The previous prime is 1006281834449. The next prime is 1006281834497. The reversal of 1006281834496 is 6944381826001.

The square root of 1006281834496 is 1003136.

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 12544000000 + 993737834496 = 112000^2 + 996864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006281834497) 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, 2182823706 + ... + 2182824166.

Almost surely, 2^{1006281834496} is an apocalyptic number.

1006281834496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1006281834496 is the 1003136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006281834496

1006281834496 is an abundant number, since it is smaller than the sum of its proper divisors (1136214051531).

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

1006281834496 is an frugal number, since it uses more digits than its factorization.

1006281834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 1006281834496 in words is "one trillion, six billion, two hundred eighty-one million, eight hundred thirty-four thousand, four hundred ninety-six".