8008141413348 has 48 divisors (see below), whose sum is σ = 20804480376960. Its totient is φ = 2663899179552.

The previous prime is 8008141413341. The next prime is 8008141413413. The reversal of 8008141413348 is 8433141418008.

8008141413348 is a `hidden beast` number, since 80 + 0 + 81 + 41 + 413 + 3 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (8008141413341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76076211 + ... + 76181402.

It is an arithmetic number, because the mean of its divisors is an integer number (433426674520).

Almost surely, 2^{8008141413348} is an apocalyptic number.

It is an amenable number.

8008141413348 is an abundant number, since it is smaller than the sum of its proper divisors (12796338963612).

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

8008141413348 is a wasteful number, since it uses less digits than its factorization.

8008141413348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152258113 (or 152258105 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 8008141413348 in words is "eight trillion, eight billion, one hundred forty-one million, four hundred thirteen thousand, three hundred forty-eight".