949046112 has 288 divisors, whose sum is σ = 3335320800. Its totient is φ = 261467136.

The previous prime is 949046107. The next prime is 949046117. The reversal of 949046112 is 211640949.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (949046107) and next prime (949046117).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949046117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227358 + ... + 1228130.

It is an arithmetic number, because the mean of its divisors is an integer number (11580975).

Almost surely, 2^949046112 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 949046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667660400).

949046112 is an abundant number, since it is smaller than the sum of its proper divisors (2386274688).

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

949046112 is a wasteful number, since it uses less digits than its factorization.

949046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 949046112 is about 30806.5920218384. The cubic root of 949046112 is about 982.7184386987.

The spelling of 949046112 in words is "nine hundred forty-nine million, forty-six thousand, one hundred twelve".