1008673545600 has 1440 divisors, whose sum is σ = 4352212846800. Its totient is φ = 222161264640.

The previous prime is 1008673545553. The next prime is 1008673545661. The reversal of 1008673545600 is 65453768001.

1008673545600 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 7 + 35 + 4 + 5 + 600 = 666.

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

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 179 ways as a sum of consecutive naturals, for example, 2005314949 + ... + 2005315451.

Almost surely, 2^{1008673545600} is an apocalyptic number.

1008673545600 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 1008673545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176106423400).

1008673545600 is an abundant number, since it is smaller than the sum of its proper divisors (3343539301200).

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

1008673545600 is an equidigital number, since it uses as much as digits as its factorization.

1008673545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1008673545600 in words is "one trillion, eight billion, six hundred seventy-three million, five hundred forty-five thousand, six hundred".