8048346009600 has 1248 divisors, whose sum is σ = 30599389985920. Its totient is φ = 1849876807680.

The previous prime is 8048346009577. The next prime is 8048346009601. The reversal of 8048346009600 is 69006438408.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8048346009600.

It is not an unprimeable number, because it can be changed into a prime (8048346009601) 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 95 ways as a sum of consecutive naturals, for example, 5539122474 + ... + 5539123926.

Almost surely, 2^{8048346009600} is an apocalyptic number.

8048346009600 is a gapful number since it is divisible by the number (80) 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 8048346009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299694992960).

8048346009600 is an abundant number, since it is smaller than the sum of its proper divisors (22551043976320).

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

8048346009600 is a wasteful number, since it uses less digits than its factorization.

8048346009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 8048346009600 in words is "eight trillion, forty-eight billion, three hundred forty-six million, nine thousand, six hundred".