83444220416761 has 16 divisors (see below), whose sum is σ = 85730879863440. Its totient is φ = 81159219993600.

The previous prime is 83444220416749. The next prime is 83444220416779. The reversal of 83444220416761 is 16761402244438.

It can be written as a sum of positive squares in 8 ways, for example, as 1453567809600 + 81990652607161 = 1205640^2 + 9054869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83444220416761 is a prime.

It is a super-2 number, since 2×83444220416761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83444220416699 and 83444220416708.

It is not an unprimeable number, because it can be changed into a prime (83444220416701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193235645 + ... + 1193305573.

It is an arithmetic number, because the mean of its divisors is an integer number (5358179991465).

Almost surely, 2^{83444220416761} is an apocalyptic number.

It is an amenable number.

83444220416761 is a deficient number, since it is larger than the sum of its proper divisors (2286659446679).

83444220416761 is a wasteful number, since it uses less digits than its factorization.

83444220416761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81324.

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 83444220416761 in words is "eighty-three trillion, four hundred forty-four billion, two hundred twenty million, four hundred sixteen thousand, seven hundred sixty-one".