18681674160576 has 224 divisors, whose sum is σ = 58055821903872. Its totient is φ = 5189848104960.

The previous prime is 18681674160551. The next prime is 18681674160577. The reversal of 18681674160576 is 67506147618681.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18681674160577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73819216 + ... + 74071856.

Almost surely, 2^{18681674160576} is an apocalyptic number.

18681674160576 is a gapful number since it is divisible by the number (16) 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 18681674160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027910951936).

18681674160576 is an abundant number, since it is smaller than the sum of its proper divisors (39374147743296).

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

18681674160576 is a wasteful number, since it uses less digits than its factorization.

18681674160576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254187 (or 254177 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 18681674160576 in words is "eighteen trillion, six hundred eighty-one billion, six hundred seventy-four million, one hundred sixty thousand, five hundred seventy-six".