1008564743472 has 320 divisors, whose sum is σ = 3113080750080. Its totient is φ = 277335475200.

The previous prime is 1008564743449. The next prime is 1008564743519. The reversal of 1008564743472 is 2743474658001.

It is a super-2 number, since 2×1008564743472² (a number of 25 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 178852429 + ... + 178858067.

It is an arithmetic number, because the mean of its divisors is an integer number (9728377344).

Almost surely, 2^{1008564743472} is an apocalyptic number.

1008564743472 is a gapful number since it is divisible by the number (12) 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 1008564743472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556540375040).

1008564743472 is an abundant number, since it is smaller than the sum of its proper divisors (2104516006608).

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

1008564743472 is a wasteful number, since it uses less digits than its factorization.

1008564743472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 1008564743472 in words is "one trillion, eight billion, five hundred sixty-four million, seven hundred forty-three thousand, four hundred seventy-two".