1008090546066 has 48 divisors (see below), whose sum is σ = 2279258227584. Its totient is φ = 321406495872.

The previous prime is 1008090546061. The next prime is 1008090546077. The reversal of 1008090546066 is 6606450908001.

1008090546066 is a `hidden beast` number, since 10 + 0 + 8 + 0 + 90 + 546 + 0 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1008090546061) 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, 14877235 + ... + 14944841.

It is an arithmetic number, because the mean of its divisors is an integer number (47484546408).

Almost surely, 2^{1008090546066} is an apocalyptic number.

1008090546066 is an abundant number, since it is smaller than the sum of its proper divisors (1271167681518).

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

1008090546066 is a wasteful number, since it uses less digits than its factorization.

1008090546066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103655 (or 103652 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1008090546066 in words is "one trillion, eight billion, ninety million, five hundred forty-six thousand, sixty-six".