949875159168 has 576 divisors, whose sum is σ = 3024489312000. Its totient is φ = 285957734400.

The previous prime is 949875159139. The next prime is 949875159187. The reversal of 949875159168 is 861951578949.

949875159168 is a `hidden beast` number, since 9 + 4 + 98 + 7 + 515 + 9 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 949875159096 and 949875159105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2322432948 + ... + 2322433356.

It is an arithmetic number, because the mean of its divisors is an integer number (5250849500).

Almost surely, 2^949875159168 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 949875159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512244656000).

949875159168 is an abundant number, since it is smaller than the sum of its proper divisors (2074614152832).

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

949875159168 is a wasteful number, since it uses less digits than its factorization.

949875159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 657 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 72.

The spelling of 949875159168 in words is "nine hundred forty-nine billion, eight hundred seventy-five million, one hundred fifty-nine thousand, one hundred sixty-eight".