18283082904000 has 672 divisors, whose sum is σ = 68289510481920. Its totient is φ = 4660482816000.

The previous prime is 18283082903999. The next prime is 18283082904061. The reversal of 18283082904000 is 40928038281.

18283082904000 is a `hidden beast` number, since 1 + 8 + 2 + 83 + 0 + 82 + 90 + 400 + 0 = 666.

It is a super-2 number, since 2×18283082904000² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3707781535 + ... + 3707786465.

It is an arithmetic number, because the mean of its divisors is an integer number (101621295360).

Almost surely, 2^{18283082904000} is an apocalyptic number.

18283082904000 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 18283082904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34144755240960).

18283082904000 is an abundant number, since it is smaller than the sum of its proper divisors (50006427577920).

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

18283082904000 is a wasteful number, since it uses less digits than its factorization.

18283082904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18283082904000 in words is "eighteen trillion, two hundred eighty-three billion, eighty-two million, nine hundred four thousand".