348996528648 has 96 divisors (see below), whose sum is σ = 961189819200. Its totient is φ = 114366038400.

The previous prime is 348996528641. The next prime is 348996528689. The reversal of 348996528648 is 846825699843.

It is a happy number.

348996528648 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 96 + 528 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (348996528641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8935803 + ... + 8974773.

It is an arithmetic number, because the mean of its divisors is an integer number (10012393950).

Almost surely, 2^348996528648 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 348996528648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480594909600).

348996528648 is an abundant number, since it is smaller than the sum of its proper divisors (612193290552).

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

348996528648 is a wasteful number, since it uses less digits than its factorization.

348996528648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41083 (or 41076 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 348996528648 in words is "three hundred forty-eight billion, nine hundred ninety-six million, five hundred twenty-eight thousand, six hundred forty-eight".