138798275616 has 1152 divisors, whose sum is σ = 568085446656. Its totient is φ = 30934794240.

The previous prime is 138798275611. The next prime is 138798275687. The reversal of 138798275616 is 616572897831.

138798275616 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 8 + 2 + 7 + 5 + 616 = 666.

138798275616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138798275616² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (138798275611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622413681 + ... + 622413903.

It is an arithmetic number, because the mean of its divisors is an integer number (493129728).

Almost surely, 2^138798275616 is an apocalyptic number.

138798275616 is a gapful number since it is divisible by the number (16) 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 138798275616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284042723328).

138798275616 is an abundant number, since it is smaller than the sum of its proper divisors (429287171040).

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

138798275616 is a wasteful number, since it uses less digits than its factorization.

138798275616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

It can be divided in two parts, 138798 and 275616, that added together give a palindrome (414414).

The spelling of 138798275616 in words is "one hundred thirty-eight billion, seven hundred ninety-eight million, two hundred seventy-five thousand, six hundred sixteen".