8009148672288 has 288 divisors, whose sum is σ = 23649469264512. Its totient is φ = 2569206681600.

The previous prime is 8009148672269. The next prime is 8009148672377. The reversal of 8009148672288 is 8822768419008.

8009148672288 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 1 + 486 + 72 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663497293 + ... + 663509363.

It is an arithmetic number, because the mean of its divisors is an integer number (82116212724).

Almost surely, 2^{8009148672288} 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 8009148672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824734632256).

8009148672288 is an abundant number, since it is smaller than the sum of its proper divisors (15640320592224).

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

8009148672288 is a wasteful number, since it uses less digits than its factorization.

8009148672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 8009148672288 in words is "eight trillion, nine billion, one hundred forty-eight million, six hundred seventy-two thousand, two hundred eighty-eight".