138417884448 has 96 divisors (see below), whose sum is σ = 373357361664. Its totient is φ = 44869404672.

The previous prime is 138417884443. The next prime is 138417884453. The reversal of 138417884448 is 844488714831.

It is an interprime number because it is at equal distance from previous prime (138417884443) and next prime (138417884453).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138417884391 and 138417884400.

It is not an unprimeable number, because it can be changed into a prime (138417884443) 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, 7830436 + ... + 7848092.

It is an arithmetic number, because the mean of its divisors is an integer number (3889139184).

Almost surely, 2^138417884448 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 138417884448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186678680832).

138417884448 is an abundant number, since it is smaller than the sum of its proper divisors (234939477216).

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

138417884448 is a wasteful number, since it uses less digits than its factorization.

138417884448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19914 (or 19906 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 60.

The spelling of 138417884448 in words is "one hundred thirty-eight billion, four hundred seventeen million, eight hundred eighty-four thousand, four hundred forty-eight".