18031778706240 has 1344 divisors, whose sum is σ = 69479592279552. Its totient is φ = 4263955660800.

The previous prime is 18031778706239. The next prime is 18031778706313. The reversal of 18031778706240 is 4260787713081.

18031778706240 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 1 + 7 + 7 + 8 + 7 + 0 + 624 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51081525904 + ... + 51081526256.

It is an arithmetic number, because the mean of its divisors is an integer number (51696125208).

Almost surely, 2^{18031778706240} is an apocalyptic number.

18031778706240 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 18031778706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34739796139776).

18031778706240 is an abundant number, since it is smaller than the sum of its proper divisors (51447813573312).

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

18031778706240 is a wasteful number, since it uses less digits than its factorization.

18031778706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 18031778706240 in words is "eighteen trillion, thirty-one billion, seven hundred seventy-eight million, seven hundred six thousand, two hundred forty".