84797652642561 has 24 divisors (see below), whose sum is σ = 124815901228200. Its totient is φ = 55456528697856.

The previous prime is 84797652642553. The next prime is 84797652642569. The reversal of 84797652642561 is 16524625679748.

84797652642561 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 7 + 6 + 52 + 6 + 4 + 2 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (84797652642553) and next prime (84797652642569).

It can be written as a sum of positive squares in 4 ways, for example, as 44001584290161 + 40796068352400 = 6633369^2 + 6387180^2 .

It is not a de Polignac number, because 84797652642561 - 2³ = 84797652642553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84797652642561.

It is not an unprimeable number, because it can be changed into a prime (84797652642569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10706806 + ... + 16859151.

It is an arithmetic number, because the mean of its divisors is an integer number (5200662551175).

Almost surely, 2^{84797652642561} is an apocalyptic number.

It is an amenable number.

84797652642561 is a deficient number, since it is larger than the sum of its proper divisors (40018248585639).

84797652642561 is a wasteful number, since it uses less digits than its factorization.

84797652642561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27572465 (or 27572462 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 84797652642561 in words is "eighty-four trillion, seven hundred ninety-seven billion, six hundred fifty-two million, six hundred forty-two thousand, five hundred sixty-one".