6848290413120 has 1344 divisors, whose sum is σ = 25042984427520. Its totient is φ = 1582523744256.

The previous prime is 6848290413109. The next prime is 6848290413191. The reversal of 6848290413120 is 213140928486.

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 6848290413120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43619684082 + ... + 43619684238.

Almost surely, 2^{6848290413120} is an apocalyptic number.

6848290413120 is a gapful number since it is divisible by the number (60) 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 6848290413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521492213760).

6848290413120 is an abundant number, since it is smaller than the sum of its proper divisors (18194694014400).

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

6848290413120 is a wasteful number, since it uses less digits than its factorization.

6848290413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 6848290413120 in words is "six trillion, eight hundred forty-eight billion, two hundred ninety million, four hundred thirteen thousand, one hundred twenty".