18012456000 has 1680 divisors, whose sum is σ = 87681889152. Its totient is φ = 3545856000.

The previous prime is 18012455999. The next prime is 18012456047. The reversal of 18012456000 is 65421081.

18012456000 is a `hidden beast` number, since 1 + 8 + 0 + 12 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 948023991 + ... + 948024009.

Almost surely, 2^18012456000 is an apocalyptic number.

18012456000 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 18012456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43840944576).

18012456000 is an abundant number, since it is smaller than the sum of its proper divisors (69669433152).

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

18012456000 is a wasteful number, since it uses less digits than its factorization.

18012456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 18012456000 its reverse (65421081), we get a palindrome (18077877081).

The spelling of 18012456000 in words is "eighteen billion, twelve million, four hundred fifty-six thousand".