949085280816960 has 448 divisors, whose sum is σ = 3500447772003840. Its totient is φ = 213367251271680.

The previous prime is 949085280816889. The next prime is 949085280817001. The reversal of 949085280816960 is 69618082580949.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11399423652 + ... + 11399506908.

It is an arithmetic number, because the mean of its divisors is an integer number (7813499491080).

Almost surely, 2^{949085280816960} 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 949085280816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750223886001920).

949085280816960 is an abundant number, since it is smaller than the sum of its proper divisors (2551362491186880).

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

949085280816960 is a wasteful number, since it uses less digits than its factorization.

949085280816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111154 (or 111144 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 75.

The spelling of 949085280816960 in words is "nine hundred forty-nine trillion, eighty-five billion, two hundred eighty million, eight hundred sixteen thousand, nine hundred sixty".