9078413472128 has 768 divisors, whose sum is σ = 25451225395200. Its totient is φ = 3128714035200.

The previous prime is 9078413472059. The next prime is 9078413472133. The reversal of 9078413472128 is 8212743148709.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5628277850 + ... + 5628279462.

It is an arithmetic number, because the mean of its divisors is an integer number (33139616400).

Almost surely, 2^{9078413472128} 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 9078413472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12725612697600).

9078413472128 is an abundant number, since it is smaller than the sum of its proper divisors (16372811923072).

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

9078413472128 is a wasteful number, since it uses less digits than its factorization.

9078413472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 9078413472128 in words is "nine trillion, seventy-eight billion, four hundred thirteen million, four hundred seventy-two thousand, one hundred twenty-eight".