138358448896 has 72 divisors (see below), whose sum is σ = 292546069200. Its totient is φ = 65082261504.

The previous prime is 138358448887. The next prime is 138358448897. The reversal of 138358448896 is 698844853831.

It is not an unprimeable number, because it can be changed into a prime (138358448897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13264035 + ... + 13274461.

It is an arithmetic number, because the mean of its divisors is an integer number (4063139850).

Almost surely, 2^138358448896 is an apocalyptic number.

138358448896 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 138358448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146273034600).

138358448896 is an abundant number, since it is smaller than the sum of its proper divisors (154187620304).

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

138358448896 is a wasteful number, since it uses less digits than its factorization.

138358448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13495 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 67.

The spelling of 138358448896 in words is "one hundred thirty-eight billion, three hundred fifty-eight million, four hundred forty-eight thousand, eight hundred ninety-six".