18220816793088 has 1440 divisors, whose sum is σ = 68230466304000. Its totient is φ = 4553585786880.

The previous prime is 18220816793033. The next prime is 18220816793173. The reversal of 18220816793088 is 88039761802281.

18220816793088 is a `hidden beast` number, since 182 + 2 + 0 + 81 + 6 + 79 + 308 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 36514662663 + ... + 36514663161.

Almost surely, 2^{18220816793088} is an apocalyptic number.

18220816793088 is a gapful number since it is divisible by the number (18) 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 18220816793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34115233152000).

18220816793088 is an abundant number, since it is smaller than the sum of its proper divisors (50009649510912).

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

18220816793088 is a wasteful number, since it uses less digits than its factorization.

18220816793088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 18220816793088 in words is "eighteen trillion, two hundred twenty billion, eight hundred sixteen million, seven hundred ninety-three thousand, eighty-eight".