86442468121 has 27 divisors (see below), whose sum is σ = 90766328797. Its totient is φ = 82323080000.

The previous prime is 86442468083. The next prime is 86442468149. The reversal of 86442468121 is 12186424468.

The square root of 86442468121 is 294011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41744521 + 86400723600 = 6461^2 + 293940^2 .

It is not a de Polignac number, because 86442468121 - 2¹⁵ = 86442435353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86442468181) 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, 855865971 + ... + 855866071.

Almost surely, 2^86442468121 is an apocalyptic number.

86442468121 is the 294011-st square number.

86442468121 is the 147006-th centered octagonal number.

It is an amenable number.

86442468121 is a deficient number, since it is larger than the sum of its proper divisors (4323860676).

86442468121 is an frugal number, since it uses more digits than its factorization.

86442468121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The spelling of 86442468121 in words is "eighty-six billion, four hundred forty-two million, four hundred sixty-eight thousand, one hundred twenty-one".