18242165760000 has 2240 divisors, whose sum is σ = 77407832764416. Its totient is φ = 3715891200000.

The previous prime is 18242165759953. The next prime is 18242165760017. The reversal of 18242165760000 is 6756124281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×18242165760000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 43330559790 + ... + 43330560210.

Almost surely, 2^{18242165760000} is an apocalyptic number.

18242165760000 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 18242165760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38703916382208).

18242165760000 is an abundant number, since it is smaller than the sum of its proper divisors (59165667004416).

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

18242165760000 is an equidigital number, since it uses as much as digits as its factorization.

18242165760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 18242165760000 in words is "eighteen trillion, two hundred forty-two billion, one hundred sixty-five million, seven hundred sixty thousand".