18094780242000 has 1280 divisors, whose sum is σ = 80908010127360. Its totient is φ = 3755579904000.

The previous prime is 18094780241957. The next prime is 18094780242031. The reversal of 18094780242000 is 24208749081.

18094780242000 is a `hidden beast` number, since 180 + 9 + 47 + 8 + 0 + 2 + 420 + 0 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 4561324017 + ... + 4561327983.

It is an arithmetic number, because the mean of its divisors is an integer number (63209382912).

Almost surely, 2^{18094780242000} is an apocalyptic number.

18094780242000 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 18094780242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40454005063680).

18094780242000 is an abundant number, since it is smaller than the sum of its proper divisors (62813229885360).

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

18094780242000 is a wasteful number, since it uses less digits than its factorization.

18094780242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18094780242000 in words is "eighteen trillion, ninety-four billion, seven hundred eighty million, two hundred forty-two thousand".