8133175989408 has 144 divisors (see below), whose sum is σ = 22695366879360. Its totient is φ = 2549779144704.

The previous prime is 8133175989383. The next prime is 8133175989457. The reversal of 8133175989408 is 8049895713318.

It is a happy number.

It is a super-2 number, since 2×8133175989408² (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 39376708 + ... + 39582716.

It is an arithmetic number, because the mean of its divisors is an integer number (157606714440).

Almost surely, 2^{8133175989408} 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 8133175989408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347683439680).

8133175989408 is an abundant number, since it is smaller than the sum of its proper divisors (14562190889952).

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

8133175989408 is a wasteful number, since it uses less digits than its factorization.

8133175989408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207479 (or 207454 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 8133175989408 in words is "eight trillion, one hundred thirty-three billion, one hundred seventy-five million, nine hundred eighty-nine thousand, four hundred eight".