8138239814016 has 1024 divisors, whose sum is σ = 28265489280000. Its totient is φ = 2282486169600.

The previous prime is 8138239814011. The next prime is 8138239814053. The reversal of 8138239814016 is 6104189328318.

8138239814016 is a `hidden beast` number, since 8 + 138 + 23 + 9 + 81 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138239814011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13541164116 + ... + 13541164716.

It is an arithmetic number, because the mean of its divisors is an integer number (27603016875).

Almost surely, 2^{8138239814016} 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 8138239814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132744640000).

8138239814016 is an abundant number, since it is smaller than the sum of its proper divisors (20127249465984).

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

8138239814016 is a wasteful number, since it uses less digits than its factorization.

8138239814016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 8138239814016 in words is "eight trillion, one hundred thirty-eight billion, two hundred thirty-nine million, eight hundred fourteen thousand, sixteen".