84946144306 has 64 divisors (see below), whose sum is σ = 145729953792. Its totient is φ = 36908669952.

The previous prime is 84946144303. The next prime is 84946144307. The reversal of 84946144306 is 60344164948.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 84946144306.

It is not an unprimeable number, because it can be changed into a prime (84946144303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3663060 + ... + 3686176.

It is an arithmetic number, because the mean of its divisors is an integer number (2277030528).

Almost surely, 2^84946144306 is an apocalyptic number.

84946144306 is a deficient number, since it is larger than the sum of its proper divisors (60783809486).

84946144306 is a wasteful number, since it uses less digits than its factorization.

84946144306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23323.

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 84946144306 in words is "eighty-four billion, nine hundred forty-six million, one hundred forty-four thousand, three hundred six".