18115282944000 has 1440 divisors, whose sum is σ = 72801047434752. Its totient is φ = 4295884800000.

The previous prime is 18115282943959. The next prime is 18115282944013. The reversal of 18115282944000 is 44928251181.

18115282944000 is a `hidden beast` number, since 1 + 8 + 1 + 152 + 8 + 2 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×18115282944000² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9529343050 + ... + 9529344950.

Almost surely, 2^{18115282944000} is an apocalyptic number.

18115282944000 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 18115282944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400523717376).

18115282944000 is an abundant number, since it is smaller than the sum of its proper divisors (54685764490752).

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

18115282944000 is a wasteful number, since it uses less digits than its factorization.

18115282944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 18115282944000 in words is "eighteen trillion, one hundred fifteen billion, two hundred eighty-two million, nine hundred forty-four thousand".