18838289461860 has 432 divisors, whose sum is σ = 65008897153200. Its totient is φ = 4407129323520.

The previous prime is 18838289461807. The next prime is 18838289461891. The reversal of 18838289461860 is 6816498283881.

18838289461860 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 8 + 2 + 89 + 461 + 86 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 409264708644 + 18429024753216 = 639738^2 + 4292904^2 .

It is a super-2 number, since 2×18838289461860² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1458404122 + ... + 1458417038.

It is an arithmetic number, because the mean of its divisors is an integer number (150483558225).

Almost surely, 2^{18838289461860} is an apocalyptic number.

18838289461860 is a gapful number since it is divisible by the number (10) 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 18838289461860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32504448576600).

18838289461860 is an abundant number, since it is smaller than the sum of its proper divisors (46170607691340).

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

18838289461860 is a wasteful number, since it uses less digits than its factorization.

18838289461860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15292 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 18838289461860 in words is "eighteen trillion, eight hundred thirty-eight billion, two hundred eighty-nine million, four hundred sixty-one thousand, eight hundred sixty".