83444220416801 has 8 divisors (see below), whose sum is σ = 85384916727264. Its totient is φ = 81503530153920.

The previous prime is 83444220416779. The next prime is 83444220416831. The reversal of 83444220416801 is 10861402244438.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83444220416801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83444220416831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38696786 + ... + 40796196.

It is an arithmetic number, because the mean of its divisors is an integer number (10673114590908).

Almost surely, 2^{83444220416801} is an apocalyptic number.

It is an amenable number.

83444220416801 is a deficient number, since it is larger than the sum of its proper divisors (1940696310463).

83444220416801 is a wasteful number, since it uses less digits than its factorization.

83444220416801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023791.

The product of its (nonzero) digits is 1179648, while the sum is 47.

The spelling of 83444220416801 in words is "eighty-three trillion, four hundred forty-four billion, two hundred twenty million, four hundred sixteen thousand, eight hundred one".