18861306347520 has 3264 divisors, whose sum is σ = 88488401863680. Its totient is φ = 3742560681984.

The previous prime is 18861306347489. The next prime is 18861306347567. The reversal of 18861306347520 is 2574360316881.

18861306347520 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 13 + 0 + 63 + 47 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137673768892 + ... + 137673769028.

Almost surely, 2^{18861306347520} is an apocalyptic number.

18861306347520 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 18861306347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44244200931840).

18861306347520 is an abundant number, since it is smaller than the sum of its proper divisors (69627095516160).

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

18861306347520 is an equidigital number, since it uses as much as digits as its factorization.

18861306347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18861306347520 in words is "eighteen trillion, eight hundred sixty-one billion, three hundred six million, three hundred forty-seven thousand, five hundred twenty".