949344928128 has 128 divisors (see below), whose sum is σ = 2803958661600. Its totient is φ = 316214231040.

The previous prime is 949344928121. The next prime is 949344928157. The reversal of 949344928128 is 821829443949.

949344928128 is a `hidden beast` number, since 9 + 4 + 9 + 344 + 9 + 281 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×949344928128⁴ (a number of 49 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949344928121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4602700 + ... + 4804532.

Almost surely, 2^949344928128 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 949344928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401979330800).

949344928128 is an abundant number, since it is smaller than the sum of its proper divisors (1854613733472).

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

949344928128 is a wasteful number, since it uses less digits than its factorization.

949344928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203217 (or 203199 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 949344928128 in words is "nine hundred forty-nine billion, three hundred forty-four million, nine hundred twenty-eight thousand, one hundred twenty-eight".