86938583445 has 60 divisors (see below), whose sum is σ = 181289658924. Its totient is φ = 39743343360.

The previous prime is 86938583441. The next prime is 86938583449. The reversal of 86938583445 is 54438583968.

It is a happy number.

86938583445 is a `hidden beast` number, since 8 + 6 + 9 + 3 + 8 + 583 + 4 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (86938583441) and next prime (86938583449).

It can be written as a sum of positive squares in 2 ways, for example, as 13175825796 + 73762757649 = 114786^2 + 271593^2 .

It is not a de Polignac number, because 86938583445 - 2² = 86938583441 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86938583441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2170596 + ... + 2210285.

Almost surely, 2^86938583445 is an apocalyptic number.

It is an amenable number.

86938583445 is an abundant number, since it is smaller than the sum of its proper divisors (94351075479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86938583445 is a wasteful number, since it uses less digits than its factorization.

86938583445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380912 (or 4380896 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 86938583445 in words is "eighty-six billion, nine hundred thirty-eight million, five hundred eighty-three thousand, four hundred forty-five".