66046204442000 has 80 divisors (see below), whose sum is σ = 159843731065200. Its totient is φ = 26394658995200.

The previous prime is 66046204441901. The next prime is 66046204442033. The reversal of 66046204442000 is 24440264066.

It can be written as a sum of positive squares in 8 ways, for example, as 23008983245824 + 43037221196176 = 4796768^2 + 6560276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×66046204442000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12670685 + ... + 17106684.

It is an arithmetic number, because the mean of its divisors is an integer number (1998046638315).

Almost surely, 2^{66046204442000} is an apocalyptic number.

It is an amenable number.

66046204442000 is an abundant number, since it is smaller than the sum of its proper divisors (93797526623200).

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

66046204442000 is a wasteful number, since it uses less digits than its factorization.

66046204442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29778501 (or 29778485 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 66046204442000 in words is "sixty-six trillion, forty-six billion, two hundred four million, four hundred forty-two thousand".