138353816448 has 320 divisors, whose sum is σ = 423689999040. Its totient is φ = 44789760000.

The previous prime is 138353816431. The next prime is 138353816477. The reversal of 138353816448 is 844618353831.

138353816448 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 538 + 1 + 64 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138353816394 and 138353816403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115198248 + ... + 115199448.

It is an arithmetic number, because the mean of its divisors is an integer number (1324031247).

Almost surely, 2^138353816448 is an apocalyptic number.

138353816448 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 138353816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211844999520).

138353816448 is an abundant number, since it is smaller than the sum of its proper divisors (285336182592).

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

138353816448 is a wasteful number, since it uses less digits than its factorization.

138353816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 138353816448 in words is "one hundred thirty-eight billion, three hundred fifty-three million, eight hundred sixteen thousand, four hundred forty-eight".