9048298334400 has 1008 divisors, whose sum is σ = 36722906333568. Its totient is φ = 2093285376000.

The previous prime is 9048298334377. The next prime is 9048298334437. The reversal of 9048298334400 is 44338928409.

9048298334400 is a `hidden beast` number, since 9 + 0 + 4 + 8 + 298 + 3 + 344 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2899164840 + ... + 2899167960.

It is an arithmetic number, because the mean of its divisors is an integer number (36431454696).

Almost surely, 2^{9048298334400} is an apocalyptic number.

9048298334400 is a gapful number since it is divisible by the number (90) 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 9048298334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361453166784).

9048298334400 is an abundant number, since it is smaller than the sum of its proper divisors (27674607999168).

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

9048298334400 is a wasteful number, since it uses less digits than its factorization.

9048298334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9048298334400 in words is "nine trillion, forty-eight billion, two hundred ninety-eight million, three hundred thirty-four thousand, four hundred".