1066346034306 has 128 divisors (see below), whose sum is σ = 2517390489600. Its totient is φ = 294873343488.

The previous prime is 1066346034203. The next prime is 1066346034307. The reversal of 1066346034306 is 6034306436601.

It is a super-2 number, since 2×1066346034306² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1066346034307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37903161 + ... + 37931283.

It is an arithmetic number, because the mean of its divisors is an integer number (19667113200).

Almost surely, 2^{1066346034306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066346034306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258695244800).

1066346034306 is an abundant number, since it is smaller than the sum of its proper divisors (1451044455294).

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

1066346034306 is a wasteful number, since it uses less digits than its factorization.

1066346034306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28440.

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 1066346034306 in words is "one trillion, sixty-six billion, three hundred forty-six million, thirty-four thousand, three hundred six".