8949444460000 has 240 divisors, whose sum is σ = 24058063492848. Its totient is φ = 3248985600000.

The previous prime is 8949444459959. The next prime is 8949444460001. The reversal of 8949444460000 is 644449498.

It is a super-2 number, since 2×8949444460000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8949444460000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8949444460001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134826820 + ... + 134893180.

Almost surely, 2^{8949444460000} is an apocalyptic number.

8949444460000 is a gapful number since it is divisible by the number (80) 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 8949444460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029031746424).

8949444460000 is an abundant number, since it is smaller than the sum of its proper divisors (15108619032848).

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

8949444460000 is a wasteful number, since it uses less digits than its factorization.

8949444460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67015 (or 66992 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 8949444460000 in words is "eight trillion, nine hundred forty-nine billion, four hundred forty-four million, four hundred sixty thousand".