138424841568 has 192 divisors, whose sum is σ = 445402238400. Its totient is φ = 41553285120.

The previous prime is 138424841567. The next prime is 138424841593. The reversal of 138424841568 is 865148424831.

138424841568 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 2 + 484 + 156 + 8 = 666.

It is a super-2 number, since 2×138424841568² (a number of 23 digits) contains 22 as substring.

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 (138424841567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310218 + ... + 610806.

It is an arithmetic number, because the mean of its divisors is an integer number (2319803325).

Almost surely, 2^138424841568 is an apocalyptic number.

138424841568 is a gapful number since it is divisible by the number (18) 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 138424841568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222701119200).

138424841568 is an abundant number, since it is smaller than the sum of its proper divisors (306977396832).

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

138424841568 is a wasteful number, since it uses less digits than its factorization.

138424841568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300662 (or 300648 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 138424841568 in words is "one hundred thirty-eight billion, four hundred twenty-four million, eight hundred forty-one thousand, five hundred sixty-eight".