981123948 has 96 divisors (see below), whose sum is σ = 2974737920. Its totient is φ = 273792960.

The previous prime is 981123943. The next prime is 981123959. The reversal of 981123948 is 849321189.

It is a super-3 number, since 3×981123948³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (981123943) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17418 + ... + 47598.

Almost surely, 2^981123948 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 981123948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487368960).

981123948 is an abundant number, since it is smaller than the sum of its proper divisors (1993613972).

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

981123948 is a wasteful number, since it uses less digits than its factorization.

981123948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30244 (or 30236 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 981123948 is about 31322.8981417748. The cubic root of 981123948 is about 993.6679727239.

The spelling of 981123948 in words is "nine hundred eighty-one million, one hundred twenty-three thousand, nine hundred forty-eight".