1066000318029 has 24 divisors (see below), whose sum is σ = 1554299423352. Its totient is φ = 703972039680.

The previous prime is 1066000318021. The next prime is 1066000318069. The reversal of 1066000318029 is 9208130006601.

1066000318029 is a `hidden beast` number, since 10 + 6 + 600 + 0 + 3 + 18 + 0 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100487732004 + 965512586025 = 316998^2 + 982605^2 .

It is not a de Polignac number, because 1066000318029 - 2³ = 1066000318021 is a prime.

It is a super-2 number, since 2×1066000318029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066000317984 and 1066000318002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066000318021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469569 + ... + 2071625.

It is an arithmetic number, because the mean of its divisors is an integer number (64762475973).

Almost surely, 2^{1066000318029} is an apocalyptic number.

It is an amenable number.

1066000318029 is a deficient number, since it is larger than the sum of its proper divisors (488299105323).

1066000318029 is a wasteful number, since it uses less digits than its factorization.

1066000318029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603917 (or 603914 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1066000318029 in words is "one trillion, sixty-six billion, three hundred eighteen thousand, twenty-nine".