86347972954321 has 9 divisors (see below), whose sum is σ = 93501190279281. Its totient is φ = 79705709680272.

The previous prime is 86347972954297. The next prime is 86347972954343. The reversal of 86347972954321 is 12345927974368.

The square root of 86347972954321 is 9292361.

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 18584721 + 86347954369600 = 4311^2 + 9292360^2 .

It is not a de Polignac number, because 86347972954321 - 2²⁹ = 86347436083409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86347972954421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120443295 + ... + 121158091.

Almost surely, 2^{86347972954321} is an apocalyptic number.

86347972954321 is the 9292361-st square number.

86347972954321 is the 4646181-st centered octagonal number.

It is an amenable number.

86347972954321 is a deficient number, since it is larger than the sum of its proper divisors (7153217324960).

86347972954321 is an frugal number, since it uses more digits than its factorization.

86347972954321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429620 (or 714810 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 70.

The spelling of 86347972954321 in words is "eighty-six trillion, three hundred forty-seven billion, nine hundred seventy-two million, nine hundred fifty-four thousand, three hundred twenty-one".