86394257041 has 27 divisors (see below), whose sum is σ = 90742224027. Its totient is φ = 82253091360.

The previous prime is 86394256999. The next prime is 86394257093. The reversal of 86394257041 is 14075249368.

It is a happy number.

The square root of 86394257041 is 293929.

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

It can be written as a sum of positive squares in only one way, i.e., 4162959441 + 82231297600 = 64521^2 + 286760^2 .

It is not a de Polignac number, because 86394257041 - 2²³ = 86385868433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86394252041) 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, 807422910 + ... + 807423016.

It is a 1-persistent number, because it is pandigital, but 2⋅86394257041 = 172788514082 is not.

Almost surely, 2^86394257041 is an apocalyptic number.

86394257041 is the 293929-th square number.

86394257041 is the 146965-th centered octagonal number.

It is an amenable number.

86394257041 is a deficient number, since it is larger than the sum of its proper divisors (4347966986).

86394257041 is an frugal number, since it uses more digits than its factorization.

86394257041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 86394257041 by its sum of digits (49), we get a square (4233318595009 = 2057503²).

The spelling of 86394257041 in words is "eighty-six billion, three hundred ninety-four million, two hundred fifty-seven thousand, forty-one".