9025128018192 has 240 divisors, whose sum is σ = 27555212924928. Its totient is φ = 2523249630720.

The previous prime is 9025128018097. The next prime is 9025128018209. The reversal of 9025128018192 is 2918108215209.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 186202953 + ... + 186251415.

Almost surely, 2^{9025128018192} 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 9025128018192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777606462464).

9025128018192 is an abundant number, since it is smaller than the sum of its proper divisors (18530084906736).

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

9025128018192 is a wasteful number, since it uses less digits than its factorization.

9025128018192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50598 (or 50579 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 9025128018192 in words is "nine trillion, twenty-five billion, one hundred twenty-eight million, eighteen thousand, one hundred ninety-two".