86177820806401 has 3 divisors (see below), whose sum is σ = 86177830089603. Its totient is φ = 86177811523200.

The previous prime is 86177820806387. The next prime is 86177820806437. The reversal of 86177820806401 is 10460802877168.

The square root of 86177820806401 is 9283201.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 48308074060801 + 37869746745600 = 6950401^2 + 6153840^2 .

It is not a de Polignac number, because 86177820806401 - 2¹¹ = 86177820804353 is a prime.

It is a super-2 number, since 2×86177820806401² (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 (86177820806461) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4641601 + ... + 13924801.

It is an arithmetic number, because the mean of its divisors is an integer number (28725943363201).

Almost surely, 2^{86177820806401} is an apocalyptic number.

86177820806401 is the 9283201-st square number.

86177820806401 is the 4641601-st centered octagonal number.

It is an amenable number.

86177820806401 is a deficient number, since it is larger than the sum of its proper divisors (9283202).

86177820806401 is an frugal number, since it uses more digits than its factorization.

86177820806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18566402 (or 9283201 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 58.

The spelling of 86177820806401 in words is "eighty-six trillion, one hundred seventy-seven billion, eight hundred twenty million, eight hundred six thousand, four hundred one".