86355745130461 has 8 divisors (see below), whose sum is σ = 86443006283480. Its totient is φ = 86268528021312.

The previous prime is 86355745130453. The next prime is 86355745130489. The reversal of 86355745130461 is 16403154755368.

It can be written as a sum of positive squares in 4 ways, for example, as 21886584456100 + 64469160674361 = 4678310^2 + 8029269^2 .

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 86355745130461 - 2³ = 86355745130453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86355745130396 and 86355745130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86355745130491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7086930 + ... + 14931043.

It is an arithmetic number, because the mean of its divisors is an integer number (10805375785435).

Almost surely, 2^{86355745130461} is an apocalyptic number.

It is an amenable number.

86355745130461 is a deficient number, since it is larger than the sum of its proper divisors (87261153019).

86355745130461 is a wasteful number, since it uses less digits than its factorization.

86355745130461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22021935.

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 86355745130461 in words is "eighty-six trillion, three hundred fifty-five billion, seven hundred forty-five million, one hundred thirty thousand, four hundred sixty-one".