138854408455424 has 144 divisors (see below), whose sum is σ = 288217174479360. Its totient is φ = 66692314275840.

The previous prime is 138854408455361. The next prime is 138854408455429. The reversal of 138854408455424 is 424554804458831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138854408455429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11310119174 + ... + 11310131450.

Almost surely, 2^{138854408455424} 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 138854408455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144108587239680).

138854408455424 is an abundant number, since it is smaller than the sum of its proper divisors (149362766023936).

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

138854408455424 is a wasteful number, since it uses less digits than its factorization.

138854408455424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22716 (or 22702 counting only the distinct ones).

The product of its (nonzero) digits is 393216000, while the sum is 65.

The spelling of 138854408455424 in words is "one hundred thirty-eight trillion, eight hundred fifty-four billion, four hundred eight million, four hundred fifty-five thousand, four hundred twenty-four".