86273536274561 has 16 divisors (see below), whose sum is σ = 90227920410000. Its totient is φ = 82386200736000.

The previous prime is 86273536274467. The next prime is 86273536274579. The reversal of 86273536274561 is 16547263537268.

It can be written as a sum of positive squares in 8 ways, for example, as 456361047025 + 85817175227536 = 675545^2 + 9263756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86273536274561 is a prime.

It is a super-2 number, since 2×86273536274561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86273536274581) 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, 12894686 + ... + 18407063.

It is an arithmetic number, because the mean of its divisors is an integer number (5639245025625).

Almost surely, 2^{86273536274561} is an apocalyptic number.

It is an amenable number.

86273536274561 is a deficient number, since it is larger than the sum of its proper divisors (3954384135439).

86273536274561 is a wasteful number, since it uses less digits than its factorization.

86273536274561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302820.

The product of its digits is 304819200, while the sum is 65.

The spelling of 86273536274561 in words is "eighty-six trillion, two hundred seventy-three billion, five hundred thirty-six million, two hundred seventy-four thousand, five hundred sixty-one".