9468040200192 has 720 divisors, whose sum is σ = 32162514384000. Its totient is φ = 2682625720320.

The previous prime is 9468040200173. The next prime is 9468040200197. The reversal of 9468040200192 is 2910020408649.

It is not an unprimeable number, because it can be changed into a prime (9468040200197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6625639734 + ... + 6625641162.

Almost surely, 2^{9468040200192} 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 9468040200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16081257192000).

9468040200192 is an abundant number, since it is smaller than the sum of its proper divisors (22694474183808).

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

9468040200192 is a wasteful number, since it uses less digits than its factorization.

9468040200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 9468040200192 in words is "nine trillion, four hundred sixty-eight billion, forty million, two hundred thousand, one hundred ninety-two".