18671928144912 has 160 divisors (see below), whose sum is σ = 61277904629760. Its totient is φ = 5332565404800.

The previous prime is 18671928144907. The next prime is 18671928144937. The reversal of 18671928144912 is 21944182917681.

18671928144912 is a `hidden beast` number, since 1 + 8 + 67 + 1 + 9 + 2 + 81 + 4 + 491 + 2 = 666.

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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18671928144912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5796243 + ... + 8422605.

It is an arithmetic number, because the mean of its divisors is an integer number (382986903936).

Almost surely, 2^{18671928144912} is an apocalyptic number.

18671928144912 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 18671928144912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30638952314880).

18671928144912 is an abundant number, since it is smaller than the sum of its proper divisors (42605976484848).

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

18671928144912 is a wasteful number, since it uses less digits than its factorization.

18671928144912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628738 (or 2628726 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 18671928144912 in words is "eighteen trillion, six hundred seventy-one billion, nine hundred twenty-eight million, one hundred forty-four thousand, nine hundred twelve".