9914284800 has 648 divisors, whose sum is σ = 41226139136. Its totient is φ = 2226216960.

The previous prime is 9914284771. The next prime is 9914284801. The reversal of 9914284800 is 84824199.

It is a super-2 number, since 2×9914284800² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9914284801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 27014217 + ... + 27014583.

Almost surely, 2^9914284800 is an apocalyptic number.

9914284800 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 9914284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20613069568).

9914284800 is an abundant number, since it is smaller than the sum of its proper divisors (31311854336).

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

9914284800 is a wasteful number, since it uses less digits than its factorization.

9914284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9914284800 is about 99570.5016558619. The cubic root of 9914284800 is about 2148.2614248570.

The spelling of 9914284800 in words is "nine billion, nine hundred fourteen million, two hundred eighty-four thousand, eight hundred".