46066066066064 has 80 divisors (see below), whose sum is σ = 97758004515840. Its totient is φ = 20855086385280.

The previous prime is 46066066065983. The next prime is 46066066066081.

It is a happy number.

46066066066064 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103727717 + ... + 104170875.

It is an arithmetic number, because the mean of its divisors is an integer number (1221975056448).

Almost surely, 2^{46066066066064} is an apocalyptic number.

46066066066064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46066066066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48879002257920).

46066066066064 is an abundant number, since it is smaller than the sum of its proper divisors (51691938449776).

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

46066066066064 is a wasteful number, since it uses less digits than its factorization.

46066066066064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445548 (or 445542 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 56.

The spelling of 46066066066064 in words is "forty-six trillion, sixty-six billion, sixty-six million, sixty-six thousand, sixty-four", and thus it is an eban number.