18802643361120 has 960 divisors, whose sum is σ = 71876805960960. Its totient is φ = 4613569228800.

The previous prime is 18802643361113. The next prime is 18802643361167. The reversal of 18802643361120 is 2116334620881.

18802643361120 is a `hidden beast` number, since 1 + 8 + 8 + 0 + 2 + 6 + 4 + 3 + 3 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1916481015 + ... + 1916490825.

It is an arithmetic number, because the mean of its divisors is an integer number (74871672876).

Almost surely, 2^{18802643361120} is an apocalyptic number.

18802643361120 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 18802643361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35938402980480).

18802643361120 is an abundant number, since it is smaller than the sum of its proper divisors (53074162599840).

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

18802643361120 is a wasteful number, since it uses less digits than its factorization.

18802643361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18802643361120 in words is "eighteen trillion, eight hundred two billion, six hundred forty-three million, three hundred sixty-one thousand, one hundred twenty".