8114408064000 has 704 divisors, whose sum is σ = 34275104248320. Its totient is φ = 1854716313600.

The previous prime is 8114408063929. The next prime is 8114408064019. The reversal of 8114408064000 is 4608044118.

8114408064000 is a `hidden beast` number, since 8 + 1 + 1 + 4 + 4 + 0 + 8 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24024292 + ... + 24359708.

Almost surely, 2^{8114408064000} is an apocalyptic number.

8114408064000 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 8114408064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137552124160).

8114408064000 is an abundant number, since it is smaller than the sum of its proper divisors (26160696184320).

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

8114408064000 is a wasteful number, since it uses less digits than its factorization.

8114408064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335468 (or 335434 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 8114408064000 in words is "eight trillion, one hundred fourteen billion, four hundred eight million, sixty-four thousand".