9948219120 has 1200 divisors, whose sum is σ = 45258665760. Its totient is φ = 2006581248.

The previous prime is 9948219107. The next prime is 9948219133. The reversal of 9948219120 is 219128499.

9948219120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9948219107) and next prime (9948219133).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 102558912 + ... + 102559008.

Almost surely, 2^9948219120 is an apocalyptic number.

9948219120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9948219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629332880).

9948219120 is an abundant number, since it is smaller than the sum of its proper divisors (35310446640).

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

9948219120 is a wasteful number, since it uses less digits than its factorization.

9948219120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9948219120 is about 99740.7595720025. The cubic root of 9948219120 is about 2150.7096355893.

The spelling of 9948219120 in words is "nine billion, nine hundred forty-eight million, two hundred nineteen thousand, one hundred twenty".