9451468800 has 720 divisors, whose sum is σ = 36496179720. Its totient is φ = 2415329280.

The previous prime is 9451468783. The next prime is 9451468823. The reversal of 9451468800 is 88641549.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 178329574 + ... + 178329626.

Almost surely, 2^9451468800 is an apocalyptic number.

9451468800 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 9451468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248089860).

9451468800 is an abundant number, since it is smaller than the sum of its proper divisors (27044710920).

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

9451468800 is a wasteful number, since it uses less digits than its factorization.

9451468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9451468800 is about 97218.6648746011. The cubic root of 9451468800 is about 2114.2991491024.

The spelling of 9451468800 in words is "nine billion, four hundred fifty-one million, four hundred sixty-eight thousand, eight hundred".