86414890913521 has 27 divisors (see below), whose sum is σ = 88112942159683. Its totient is φ = 84749417244800.

The previous prime is 86414890913513. The next prime is 86414890913551. The reversal of 86414890913521 is 12531909841468.

The square root of 86414890913521 is 9295961.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 71855477051121 + 14559413862400 = 8476761^2 + 3815680^2 .

It is not a de Polignac number, because 86414890913521 - 2³ = 86414890913513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86414890913521.

It is not an unprimeable number, because it can be changed into a prime (86414890913551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123273738471 + ... + 123273739171.

Almost surely, 2^{86414890913521} is an apocalyptic number.

86414890913521 is the 9295961-st square number.

86414890913521 is the 4647981-st centered octagonal number.

It is an amenable number.

86414890913521 is a deficient number, since it is larger than the sum of its proper divisors (1698051246162).

86414890913521 is an frugal number, since it uses more digits than its factorization.

86414890913521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 86414890913521 in words is "eighty-six trillion, four hundred fourteen billion, eight hundred ninety million, nine hundred thirteen thousand, five hundred twenty-one".