8046382938048 has 336 divisors, whose sum is σ = 28404347112960. Its totient is φ = 2120740227072.

The previous prime is 8046382938043. The next prime is 8046382938059. The reversal of 8046382938048 is 8408392836408.

8046382938048 is a `hidden beast` number, since 8 + 0 + 463 + 8 + 2 + 93 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8046382938043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81667311 + ... + 81765777.

It is an arithmetic number, because the mean of its divisors is an integer number (84536747360).

Almost surely, 2^{8046382938048} 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 8046382938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202173556480).

8046382938048 is an abundant number, since it is smaller than the sum of its proper divisors (20357964174912).

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

8046382938048 is a wasteful number, since it uses less digits than its factorization.

8046382938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100064 (or 100051 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8046382938048 in words is "eight trillion, forty-six billion, three hundred eighty-two million, nine hundred thirty-eight thousand, forty-eight".