6815281794048 has 3168 divisors, whose sum is σ = 28160075274240. Its totient is φ = 1625330810880.

The previous prime is 6815281794047. The next prime is 6815281794059. The reversal of 6815281794048 is 8404971825186.

6815281794048 is a `hidden beast` number, since 6 + 8 + 1 + 52 + 8 + 179 + 404 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6815281794047) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93360024540 + ... + 93360024612.

Almost surely, 2^{6815281794048} 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 6815281794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080037637120).

6815281794048 is an abundant number, since it is smaller than the sum of its proper divisors (21344793480192).

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

6815281794048 is a wasteful number, since it uses less digits than its factorization.

6815281794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 6815281794048 in words is "six trillion, eight hundred fifteen billion, two hundred eighty-one million, seven hundred ninety-four thousand, forty-eight".