84461661201517 has 8 divisors (see below), whose sum is σ = 86744609367192. Its totient is φ = 82178723592000.

The previous prime is 84461661201497. The next prime is 84461661201557. The reversal of 84461661201517 is 71510216616448.

It can be written as a sum of positive squares in 4 ways, for example, as 14142518507716 + 70319142693801 = 3760654^2 + 8385651^2 .

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 84461661201517 - 2²³ = 84461652812909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84461661201557) 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 7 ways as a sum of consecutive naturals, for example, 15184767 + ... + 19987507.

It is an arithmetic number, because the mean of its divisors is an integer number (10843076170899).

Almost surely, 2^{84461661201517} is an apocalyptic number.

It is an amenable number.

84461661201517 is a deficient number, since it is larger than the sum of its proper divisors (2282948165675).

84461661201517 is a wasteful number, since it uses less digits than its factorization.

84461661201517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278079.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 84461661201517 in words is "eighty-four trillion, four hundred sixty-one billion, six hundred sixty-one million, two hundred one thousand, five hundred seventeen".