186426126081 has 48 divisors (see below), whose sum is σ = 295745158800. Its totient is φ = 112453526016.

The previous prime is 186426126071. The next prime is 186426126101. The reversal of 186426126081 is 180621624681.

It is a happy number.

186426126081 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 26 + 12 + 608 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44538303681 + 141887822400 = 211041^2 + 376680^2 .

It is not a de Polignac number, because 186426126081 - 2⁶ = 186426126017 is a prime.

It is a super-2 number, since 2×186426126081² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (186426126041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6863355 + ... + 6890463.

It is an arithmetic number, because the mean of its divisors is an integer number (6161357475).

Almost surely, 2^186426126081 is an apocalyptic number.

It is an amenable number.

186426126081 is a deficient number, since it is larger than the sum of its proper divisors (109319032719).

186426126081 is a wasteful number, since it uses less digits than its factorization.

186426126081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290 (or 28287 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 186426126081 in words is "one hundred eighty-six billion, four hundred twenty-six million, one hundred twenty-six thousand, eighty-one".