18506162930641 has 27 divisors (see below), whose sum is σ = 19140185033361. Its totient is φ = 17892788117184.

The previous prime is 18506162930621. The next prime is 18506162930663. The reversal of 18506162930641 is 14603926160581.

It is a happy number.

The square root of 18506162930641 is 4301879.

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 346121599041 + 18160041331600 = 588321^2 + 4261460^2 .

It is not a de Polignac number, because 18506162930641 - 2⁵ = 18506162930609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18506162930611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37086498610 + ... + 37086499108.

Almost surely, 2^{18506162930641} is an apocalyptic number.

18506162930641 is the 4301879-th square number.

18506162930641 is the 2150940-th centered octagonal number.

It is an amenable number.

18506162930641 is a deficient number, since it is larger than the sum of its proper divisors (634022102720).

18506162930641 is an frugal number, since it uses more digits than its factorization.

18506162930641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 18506162930641 in words is "eighteen trillion, five hundred six billion, one hundred sixty-two million, nine hundred thirty thousand, six hundred forty-one".