1008468921600 has 2430 divisors, whose sum is σ = 4611669463170. Its totient is φ = 216543559680.

The previous prime is 1008468921569. The next prime is 1008468921613. The reversal of 1008468921600 is 61298648001.

1008468921600 is a `hidden beast` number, since 10 + 0 + 8 + 4 + 6 + 8 + 9 + 21 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 4561111296 + 1003907810304 = 67536^2 + 1001952^2 .

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 (19) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 27255916782 + ... + 27255916818.

Almost surely, 2^{1008468921600} is an apocalyptic number.

1008468921600 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 1008468921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305834731585).

1008468921600 is an abundant number, since it is smaller than the sum of its proper divisors (3603200541570).

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

1008468921600 is an equidigital number, since it uses as much as digits as its factorization.

1008468921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1008468921600 in words is "one trillion, eight billion, four hundred sixty-eight million, nine hundred twenty-one thousand, six hundred".