9230491468800 has 3168 divisors, whose sum is σ = 42721226166528. Its totient is φ = 1926317998080.

The previous prime is 9230491468787. The next prime is 9230491468811. The reversal of 9230491468800 is 88641940329.

9230491468800 is a `hidden beast` number, since 9 + 2 + 30 + 491 + 46 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27390182232 + ... + 27390182568.

Almost surely, 2^{9230491468800} is an apocalyptic number.

9230491468800 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 9230491468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21360613083264).

9230491468800 is an abundant number, since it is smaller than the sum of its proper divisors (33490734697728).

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

9230491468800 is a wasteful number, since it uses less digits than its factorization.

9230491468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 9230491468800 in words is "nine trillion, two hundred thirty billion, four hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".