1006205451144 has 16 divisors (see below), whose sum is σ = 2515513627920. Its totient is φ = 335401817040.

The previous prime is 1006205451127. The next prime is 1006205451149. The reversal of 1006205451144 is 4411545026001.

It is not an unprimeable number, because it can be changed into a prime (1006205451149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20962613542 + ... + 20962613589.

It is an arithmetic number, because the mean of its divisors is an integer number (157219601745).

Almost surely, 2^{1006205451144} is an apocalyptic number.

It is an amenable number.

1006205451144 is an abundant number, since it is smaller than the sum of its proper divisors (1509308176776).

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

1006205451144 is a wasteful number, since it uses less digits than its factorization.

1006205451144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41925227140 (or 41925227136 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 1006205451144 in words is "one trillion, six billion, two hundred five million, four hundred fifty-one thousand, one hundred forty-four".