18421726464000 has 1152 divisors, whose sum is σ = 67539806661600. Its totient is φ = 4829007052800.

The previous prime is 18421726463977. The next prime is 18421726464067. The reversal of 18421726464000 is 46462712481.

18421726464000 is a `hidden beast` number, since 1 + 8 + 4 + 217 + 26 + 4 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 55907656704 + 18365818807296 = 236448^2 + 4285536^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45040895796 + ... + 45040896204.

Almost surely, 2^{18421726464000} is an apocalyptic number.

18421726464000 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 18421726464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33769903330800).

18421726464000 is an abundant number, since it is smaller than the sum of its proper divisors (49118080197600).

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

18421726464000 is a wasteful number, since it uses less digits than its factorization.

18421726464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 18421726464000 in words is "eighteen trillion, four hundred twenty-one billion, seven hundred twenty-six million, four hundred sixty-four thousand".