948702498120 has 640 divisors, whose sum is σ = 3530867487840. Its totient is φ = 226981232640.

The previous prime is 948702498119. The next prime is 948702498127. The reversal of 948702498120 is 21894207849.

It can be written as a sum of positive squares in 16 ways, for example, as 184592248164 + 764110249956 = 429642^2 + 874134^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (948702498127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 547432774 + ... + 547434506.

Almost surely, 2^948702498120 is an apocalyptic number.

948702498120 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 948702498120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765433743920).

948702498120 is an abundant number, since it is smaller than the sum of its proper divisors (2582164989720).

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

948702498120 is a wasteful number, since it uses less digits than its factorization.

948702498120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 948702498120 in words is "nine hundred forty-eight billion, seven hundred two million, four hundred ninety-eight thousand, one hundred twenty".