9449916000 has 768 divisors, whose sum is σ = 38645268480. Its totient is φ = 1969920000.

The previous prime is 9449915983. The next prime is 9449916011. The reversal of 9449916000 is 6199449.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49475905 + ... + 49476095.

It is an arithmetic number, because the mean of its divisors is an integer number (50319360).

Almost surely, 2^9449916000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9449916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322634240).

9449916000 is an abundant number, since it is smaller than the sum of its proper divisors (29195352480).

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

9449916000 is a wasteful number, since it uses less digits than its factorization.

9449916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 9449916000 is about 97210.6784257779. The cubic root of 9449916000 is about 2114.1833553354.

The spelling of 9449916000 in words is "nine billion, four hundred forty-nine million, nine hundred sixteen thousand".