9468342892008 has 1152 divisors, whose sum is σ = 36128070800640. Its totient is φ = 2200697856000.

The previous prime is 9468342891977. The next prime is 9468342892069. The reversal of 9468342892008 is 8002982438649.

9468342892008 is a `hidden beast` number, since 9 + 4 + 6 + 8 + 342 + 89 + 200 + 8 = 666.

9468342892008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9468342892008³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3454337518 + ... + 3454340258.

It is an arithmetic number, because the mean of its divisors is an integer number (31361172570).

Almost surely, 2^{9468342892008} is an apocalyptic number.

9468342892008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9468342892008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064035400320).

9468342892008 is an abundant number, since it is smaller than the sum of its proper divisors (26659727908632).

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

9468342892008 is a wasteful number, since it uses less digits than its factorization.

9468342892008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 9468342892008 in words is "nine trillion, four hundred sixty-eight billion, three hundred forty-two million, eight hundred ninety-two thousand, eight".