84944808001 has 8 divisors (see below), whose sum is σ = 85023011304. Its totient is φ = 84866643840.

The previous prime is 84944807989. The next prime is 84944808059. The reversal of 84944808001 is 10080844948.

It can be written as a sum of positive squares in 4 ways, for example, as 13270809601 + 71673998400 = 115199^2 + 267720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84944808001 - 2⁹ = 84944807489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84944808071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802471 + ... + 5817091.

It is an arithmetic number, because the mean of its divisors is an integer number (10627876413).

Almost surely, 2^84944808001 is an apocalyptic number.

It is an amenable number.

84944808001 is a deficient number, since it is larger than the sum of its proper divisors (78203303).

84944808001 is a wasteful number, since it uses less digits than its factorization.

84944808001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 84944808001 in words is "eighty-four billion, nine hundred forty-four million, eight hundred eight thousand, one".