2348948336328 has 288 divisors, whose sum is σ = 7466396857920. Its totient is φ = 665018323200.

The previous prime is 2348948336323. The next prime is 2348948336341. The reversal of 2348948336328 is 8236338498432.

2348948336328 is a `hidden beast` number, since 2 + 3 + 489 + 48 + 33 + 63 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2348948336323) 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 71 ways as a sum of consecutive naturals, for example, 8479858 + ... + 8752478.

It is an arithmetic number, because the mean of its divisors is an integer number (25924989090).

Almost surely, 2^{2348948336328} 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 2348948336328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733198428960).

2348948336328 is an abundant number, since it is smaller than the sum of its proper divisors (5117448521592).

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

2348948336328 is a wasteful number, since it uses less digits than its factorization.

2348948336328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272721 (or 272703 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 2348948336328 in words is "two trillion, three hundred forty-eight billion, nine hundred forty-eight million, three hundred thirty-six thousand, three hundred twenty-eight".