18546967872 has 210 divisors, whose sum is σ = 55881880362. Its totient is φ = 6082407936.

The previous prime is 18546967843. The next prime is 18546967883. The reversal of 18546967872 is 27876964581.

18546967872 is a `hidden beast` number, since 1 + 8 + 546 + 9 + 6 + 7 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15731179776 + 2815788096 = 125424^2 + 53064^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23270578 + ... + 23271374.

Almost surely, 2^18546967872 is an apocalyptic number.

18546967872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18546967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27940940181).

18546967872 is an abundant number, since it is smaller than the sum of its proper divisors (37334912490).

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

18546967872 is an frugal number, since it uses more digits than its factorization.

18546967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 869 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 18546967872 in words is "eighteen billion, five hundred forty-six million, nine hundred sixty-seven thousand, eight hundred seventy-two".