8009001456 has 80 divisors (see below), whose sum is σ = 21432437760. Its totient is φ = 2574109440.

The previous prime is 8009001401. The next prime is 8009001457. The reversal of 8009001456 is 6541009008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8009001457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142121 + ... + 1149111.

It is an arithmetic number, because the mean of its divisors is an integer number (267905472).

Almost surely, 2^8009001456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716218880).

8009001456 is an abundant number, since it is smaller than the sum of its proper divisors (13423436304).

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

8009001456 is a wasteful number, since it uses less digits than its factorization.

8009001456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8009001456 is about 89493.0246220341. The cubic root of 8009001456 is about 2000.7498401681.

The spelling of 8009001456 in words is "eight billion, nine million, one thousand, four hundred fifty-six".