84201324680761 has 16 divisors (see below), whose sum is σ = 87175080392400. Its totient is φ = 81232272610048.

The previous prime is 84201324680749. The next prime is 84201324680801. The reversal of 84201324680761 is 16708642310248.

It can be written as a sum of positive squares in 8 ways, for example, as 6462170726400 + 77739153954361 = 2542080^2 + 8816981^2 .

It is a cyclic number.

It is not a de Polignac number, because 84201324680761 - 2⁵ = 84201324680729 is a prime.

It is a super-3 number, since 3×84201324680761³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84201324680699 and 84201324680708.

It is not an unprimeable number, because it can be changed into a prime (84201324680731) 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 15 ways as a sum of consecutive naturals, for example, 246166491 + ... + 246508303.

It is an arithmetic number, because the mean of its divisors is an integer number (5448442524525).

Almost surely, 2^{84201324680761} is an apocalyptic number.

It is an amenable number.

84201324680761 is a deficient number, since it is larger than the sum of its proper divisors (2973755711639).

84201324680761 is a wasteful number, since it uses less digits than its factorization.

84201324680761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348668.

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 84201324680761 in words is "eighty-four trillion, two hundred one billion, three hundred twenty-four million, six hundred eighty thousand, seven hundred sixty-one".